# Selina solutions for Class 6 Mathematics chapter 8 - HCF and LCM [Latest edition]

#### Chapters ## Chapter 8: HCF and LCM

Exercise 8 (A)Exercise 8 (B)Exercise 8 (C)Revision Exercise
Exercise 8 (A)

### Selina solutions for Class 6 Mathematics Chapter 8 HCF and LCM Exercise 8 (A)

Exercise 8 (A) | Q 1.1

Write all the factors of 15

Exercise 8 (A) | Q 1.2

Write all the factors of 55

Exercise 8 (A) | Q 1.3

Write all the factors of 48

Exercise 8 (A) | Q 1.4

Write all the factors of 36

Exercise 8 (A) | Q 1.5

Write all the factors of 84

Exercise 8 (A) | Q 2.1

Write all prime numbers less than 25

Exercise 8 (A) | Q 2.2

Write all prime numbers between 15 and 35

Exercise 8 (A) | Q 2.3

Write all prime numbers between 8 and 76

Exercise 8 (A) | Q 3.1

Write the prime-numbers from 5 to 45

Exercise 8 (A) | Q 3.2

Write the prime-numbers from 2 to 32

Exercise 8 (A) | Q 3.3

Write the prime-numbers from 8 to 48

Exercise 8 (A) | Q 3.4

Write the prime-numbers from 9 to 59

Exercise 8 (A) | Q 4.1

Write the prime factors of 16

Exercise 8 (A) | Q 4.2

Write the prime factors of 27

Exercise 8 (A) | Q 4.3

Write the prime factors of 35

Exercise 8 (A) | Q 4.4

Write the prime factors of 49

Exercise 8 (A) | Q 5.1

If Pn means prime factors of n, find P6

Exercise 8 (A) | Q 5.2

If Pn means prime factors of n, find P24

Exercise 8 (A) | Q 5.3

If Pn means prime factors of n, find P50

Exercise 8 (A) | Q 5.4

If Pn means prime factors of n, find P42

Exercise 8 (B)

### Selina solutions for Class 6 Mathematics Chapter 8 HCF and LCM Exercise 8 (B)

Exercise 8 (B) | Q 1.1

Using the common factor method, find the H.C.F. of 16 and 35

Exercise 8 (B) | Q 1.2

Using the common factor method, find the H.C.F. of 25 and 20

Exercise 8 (B) | Q 1.3

Using the common factor method, find the H.C.F. of 27 and 75

Exercise 8 (B) | Q 1.4

Using the common factor method, find the H.C.F. of 8, 12 and 18

Exercise 8 (B) | Q 1.5

Using the common factor method, find the H.C.F. of 24, 36, 45 and 60

Exercise 8 (B) | Q 2.1

Using the prime factor method, find the H.C.F. of 5 and 8

Exercise 8 (B) | Q 2.2

Using the prime factor method, find the H.C.F. of 24 and 49

Exercise 8 (B) | Q 2.3

Using the prime factor method, find the H.C.F. of 40, 60 and 80

Exercise 8 (B) | Q 2.4

Using the prime factor method, find the H.C.F. of 48, 84 and 88

Exercise 8 (B) | Q 2.5

Using the prime factor method, find the H.C.F. of 12, 16 and 28

Exercise 8 (B) | Q 3.1

Using the division method, find the H.C.F. of the following:

16 and 24

Exercise 8 (B) | Q 3.2

Using the division method, find the H.C.F. of the following:

18 and 30

Exercise 8 (B) | Q 3.3

Using the division method, find the H.C.F. of the following:

7, 14 and 24

Exercise 8 (B) | Q 3.4

Using the division method, find the H.C.F. of the following:

70,80,120 and 150

Exercise 8 (B) | Q 3.5

Using the division method, find the H.C.F. of the following:

32, 56 and 46

Exercise 8 (B) | Q 4.1

Use a method of your own choice to find the H.C.F. of 45, 75 and 135.

Exercise 8 (B) | Q 4.2

Use a method of your own choice to find the H.C.F. of 48, 36 and 96.

Exercise 8 (B) | Q 4.3

Use a method of your own choice to find the H.C.F. of 66, 33 and 132.

Exercise 8 (B) | Q 4.4

Use a method of your own choice to find the H.C.F. of 24, 36, 60, and 132.

Exercise 8 (B) | Q 4.5

Use a method of your own choice to find the H.C.F. of 30, 60, 90 and 105.

Exercise 8 (B) | Q 5

Find the greatest number that divides each of 180, 225 and 315 completely

Exercise 8 (B) | Q 6

Show that 45 and 56 are co-prime numbers.

Exercise 8 (B) | Q 7

Out of 15, 16, 21 and 28, find out all the pairs of co-prime numbers.

Exercise 8 (B) | Q 8

Find the greatest no. that will divide 93, 111, and 129, leaving remainder 3 in each case.

Exercise 8 (C)

### Selina solutions for Class 6 Mathematics Chapter 8 HCF and LCM Exercise 8 (C)

Exercise 8 (C) | Q 1.1

Using the common multiple method, find the L.C.M. of the following:

8, 12 and 24

Exercise 8 (C) | Q 1.2

Using the common multiple method, find the L.C.M. of the following:

10, 15 and 20

Exercise 8 (C) | Q 1.3

Using the common multiple method, find the L.C.M. of the following:

3, 6, 9 and 12

Exercise 8 (C) | Q 2.1

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

18, 24 and 96

Exercise 8 (C) | Q 2.2

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

100, 150 and 200

Exercise 8 (C) | Q 2.3

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

14, 21 and 98

Exercise 8 (C) | Q 2.4

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

22, 121 and 33

Exercise 8 (C) | Q 2.5

Find the L.C.M. of the following group of numbers, using

1. the prime factor method and
2. the common division method

34, 85 and 51

Exercise 8 (C) | Q 3

The H.C.F. and the L.C.M. of two numbers are 50 and 300 respectively. If one of the numbers is 150, find the other one.

Exercise 8 (C) | Q 4

The product of two numbers is 432 and their L.C.M. is 72. Find their H.C.F.

Exercise 8 (C) | Q 5

The product of the two numbers is 19,200 and their H.C.F. is 40. Find their L.C.M.

Exercise 8 (C) | Q 6

Find the smallest number which, when divided by 12, 15, 18, 24 and 36 leaves no remainder

Exercise 8 (C) | Q 7

Find the smallest number which, when increased by one is exactly divisible by 12, 18, 24, 32 and 40

Exercise 8 (C) | Q 8

Find the smallest number which, on being decreased by 3, is completely divisible by 18, 36, 32 and 27.

Revision Exercise

### Selina solutions for Class 6 Mathematics Chapter 8 HCF and LCM Revision Exercise

Revision Exercise | Q 1.1

Find the H.C.F. of 108, 288 and 420

Revision Exercise | Q 1.2

Find the H.C.F. of 36, 54 and 138

Revision Exercise | Q 2.1

Find the L.C.M. of 72, 80 and 252

Revision Exercise | Q 2.2

Find the L.C.M. of 48, 66 and 120

Revision Exercise | Q 3.1

State true or false. Give an example.

H.C.F. of two prime numbers is 1.

• True

• False

Revision Exercise | Q 3.2

State true or false. Give an example.

H.C.F. of two co-prime numbers is 1.

• True

• False

Revision Exercise | Q 3.3

State true or false. Give an example.

L.C.M. of two prime numbers is equal to their product.

• True

• False

Revision Exercise | Q 3.4

State true or false. Give an example.

L.C.M. of two co-prime numbers is equal to their product.

• True

• False

Revision Exercise | Q 4

The product of two numbers is 12096 and their H.C.F. is 36. Find their L.C.M.

Revision Exercise | Q 5

The product of the H.C.F. and the L.C.M. of two numbers is 1152. If one number is 48, find the other one.

Revision Exercise | Q 6.1

Find the smallest number that is completely divisible by 28 and 42.

Revision Exercise | Q 6.2

Find the largest number that can divide 28 and 42 completely.

Revision Exercise | Q 7

Find the L.C.M. of 140 and 168. Use the L.C.M. obtained to find the H.C.F. of the given numbers.

Revision Exercise | Q 8

Find the H.C.F. of 108 and 450 and use the H.C.F. obtained to find the L.C.M. of the given numbers.

## Chapter 8: HCF and LCM

Exercise 8 (A)Exercise 8 (B)Exercise 8 (C)Revision Exercise ## Selina solutions for Class 6 Mathematics chapter 8 - HCF and LCM

Selina solutions for Class 6 Mathematics chapter 8 (HCF and LCM) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Class 6 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 6 Mathematics chapter 8 HCF and LCM are Concept for HCF and LCM, Prime Factorization for HCF and LCM, Division Method for HCF and LCM, Property HCF x LCM = Product of Two Numbers.

Using Selina Class 6 solutions HCF and LCM exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Selina Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 6 prefer Selina Textbook Solutions to score more in exam.

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