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

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Selina solutions for Mathematics [English] Class 6 chapter 8 - HCF and LCM - Shaalaa.com
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Solutions for Chapter 8: HCF and LCM

Below listed, you can find solutions for Chapter 8 of CISCE Selina for Mathematics [English] Class 6.


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

Selina solutions for Mathematics [English] Class 6 8 HCF and LCM Exercise 8 (A)

1.1

Write all the factors of 15

1.2

Write all the factors of 55

1.3

Write all the factors of 48

1.4

Write all the factors of 36

1.5

Write all the factors of 84

2.1

Write all prime numbers less than 25

2.2

Write all prime numbers between 15 and 35

2.3

Write all prime numbers between 8 and 76

3.1

Write the prime-numbers from 5 to 45

3.2

Write the prime-numbers from 2 to 32

3.3

Write the prime-numbers from 8 to 48

3.4

Write the prime-numbers from 9 to 59

4.1

Write the prime factors of 16

4.2

Write the prime factors of 27

4.3

Write the prime factors of 35

4.4

Write the prime factors of 49

5.1

If Pn means prime factors of n, find P6

5.2

If Pn means prime factors of n, find P24

5.3

If Pn means prime factors of n, find P50

5.4

If Pn means prime factors of n, find P42

Exercise 8 (B)

Selina solutions for Mathematics [English] Class 6 8 HCF and LCM Exercise 8 (B)

1.1

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

1.2

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

1.3

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

1.4

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

1.5

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

2.1

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

2.2

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

2.3

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

2.4

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

2.5

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

3.1

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

16 and 24

3.2

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

18 and 30

3.3

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

7, 14 and 24

3.4

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

70,80,120 and 150

3.5

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

32, 56 and 46

4.1

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

4.2

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

4.3

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

4.4

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

4.5

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

5

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

6

Show that 45 and 56 are co-prime numbers.

7

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

8

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

Exercise 8 (C)

Selina solutions for Mathematics [English] Class 6 8 HCF and LCM Exercise 8 (C)

1.1

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

8, 12 and 24

1.2

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

10, 15 and 20

1.3

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

3, 6, 9 and 12

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

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

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

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

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

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.

4

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

5

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

6

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

7

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

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 Mathematics [English] Class 6 8 HCF and LCM Revision Exercise

1.1

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

1.2

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

2.1

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

2.2

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

3.1

State true or false. Give an example.

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

  • True

  • False

3.2

State true or false. Give an example.

 H.C.F. of two co-prime numbers is 1.

  • True

  • False

3.3

State true or false. Give an example.

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

  • True

  • False

3.4

State true or false. Give an example.

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

  • True

  • False

4

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

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.

6.1

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

6.2

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

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.

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.

Solutions for 8: HCF and LCM

Exercise 8 (A)Exercise 8 (B)Exercise 8 (C)Revision Exercise
Selina solutions for Mathematics [English] Class 6 chapter 8 - HCF and LCM - Shaalaa.com

Selina solutions for Mathematics [English] Class 6 chapter 8 - HCF and LCM

Shaalaa.com has the CISCE Mathematics Mathematics [English] Class 6 CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics Mathematics [English] Class 6 CISCE 8 (HCF and LCM) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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

Concepts covered in Mathematics [English] Class 6 chapter 8 HCF and LCM are Prime Factorisation, Factors and Common Factors, Prime and Composite Numbers, Highest Common Factor (HCF), Methods of Finding HCF, Eratosthenes’ Method of Finding Prime Numbers, Multiples and Common Multiples, Lowest Common Multiple, Methods of Finding LCM.

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

Get the free view of Chapter 8, HCF and LCM Mathematics [English] Class 6 additional questions for Mathematics Mathematics [English] Class 6 CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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