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Maharashtra State BoardSSC (English Medium) 7th Standard

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board chapter 3 - HCF and LCM [Latest edition]

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Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board chapter 3 - HCF and LCM - Shaalaa.com
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Solutions for Chapter 3: HCF and LCM

Below listed, you can find solutions for Chapter 3 of Maharashtra State Board Balbharati for Mathematics Integrated [English] Standard 7 Maharashtra State Board.


Practice Set 10Practice Set 11Practice Set 12Practice Set 13Practice Set 14
Practice Set 10 [Page 52]

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board 3 HCF and LCM Practice Set 10 [Page 52]

1.Page 52

Which number is neither a prime number nor a composite number?

2.Page 52

Which of the following are pairs of co-primes?

  • 8, 14

  • 4, 5

  • 17, 19

  • 27, 15

3.Page 52

List the prime numbers from 25 to 100 and say how many they are.

4.Page 52

Write all the twin prime numbers from 51 to 100.

5.Page 52

Write 5 pairs of twin prime numbers from 1 to 50.

6.Page 52

Which are the even prime numbers?

Practice Set 11 [Page 54]

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board 3 HCF and LCM Practice Set 11 [Page 54]

(i)Page 54

Factorise the following number into prime.

32

(ii)Page 54

Factorise the following number into prime.

57

(iii)Page 54

Factorise the following number into prime.

23

(iv)Page 54

Factorise the following number into prime.

150

(v)Page 54

Factorise the following number into prime.

216

(vi)Page 54

Factorise the following number into prime.

208

(vii)Page 54

Factorise the following number into prime.

765

(viii)Page 54

Factorise the following number into prime.

342

(ix)Page 54

Factorise the following number into prime.

377

(x)Page 54

Factorise the following number into prime.

559

Practice Set 12 [Page 56]

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board 3 HCF and LCM Practice Set 12 [Page 56]

1. (i)Page 56

Find the HCF:

25, 40

1. (ii)Page 56

Find the HCF:

56, 32

1. (iii)Page 56

Find the HCF:

40, 60, 75

1. (iv)Page 56

Find the HCF:

16, 27

1. (v)Page 56

Find the HCF:

18, 32, 48

1. (vi)Page 56

Find the HCF:

105, 154

1. (vii)Page 56

Find the HCF:

42, 45, 48

1. (viii)Page 56

Find the HCF:

57, 75, 102

1. (ix)Page 56

Find the HCF:

56, 57

1. (x)Page 56

Find the HCF:

777, 315, 588

2. (i)Page 56

Find the HCF by the division method and reduce to the simplest form.

`275/525`

2. (ii)Page 56

Find the HCF by the division method and reduce to the simplest form.

`76/133`

2. (iii)Page 56

Find the HCF by the division method and reduce to the simplest form.

`161/69`

Practice Set 13 [Page 58]

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board 3 HCF and LCM Practice Set 13 [Page 58]

1. (i)Page 58

Find the LCM:

12, 15

1. (ii)Page 58

Find the LCM:

6, 8, 10

1. (iii)Page 58

Find the LCM:

18, 32

1. (iv)Page 58

Find the LCM:

10, 15, 20

1. (v)Page 58

Find the LCM:

45, 86

1. (vi)Page 58

Find the LCM:

15, 30, 90

1. (vii)Page 58

Find the LCM:

105, 195

1. (viii)Page 58

Find the LCM:

12, 15, 45

1. (ix)Page 58

Find the LCM:

63, 81

1. (x)Page 58

Find the LCM:

18, 36, 27

2. (i)Page 58

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

32, 37

2. (ii)Page 58

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

46, 51

2. (iii)Page 58

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

15, 60

2. (iv)Page 58

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

18, 63

2. (v)Page 58

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

78, 104

Practice Set 14 [Page 60]

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board 3 HCF and LCM Practice Set 14 [Page 60]

Choose the right option.

1. (i)Page 60

The HCF of 120 and 150 is ______.

  • 30

  • 45

  • 20

  • 120

1. (ii)Page 60

The HCF of this pair of numbers is not 1.

  • 13, 17

  • 29, 20

  • 40, 20

  • 14, 15

2. (i)Page 60

Find the HCF and LCM:

14, 28

2. (ii)Page 60

Find the HCF and LCM:

32, 16

2. (iii)Page 60

Find the HCF and LCM:

17, 102, 170

2. (iv)Page 60

Find the HCF and LCM:

23, 69

2. (v)Page 60

Find the HCF and LCM:

21, 49, 84

3. (i)Page 60

Find the LCM:

36, 42

3. (ii)Page 60

Find the LCM:

15, 25, 30

3. (iii)Page 60

Find the LCM:

18, 42, 48

3. (iv)Page 60

Find the LCM:

4, 12, 20

3. (v)Page 60

Find the LCM:

24, 40, 80, 120

4.Page 60

Find the smallest number which when divided by 8, 9, 10, 15, or 20 gives a remainder of 5 every time.

5.Page 60

Reduce the fractions `348/319, 221/247, 437/551` to the lowest terms.

6.Page 60

The LCM and HCF of two numbers are 432 and 72 respectively. If one of the numbers is 216, what is the other?

7.Page 60

The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM?

8.Page 60

A trader has three bundles of string 392 m, 308 m and 490 m long. What is the great est length of string that the bundles can be cut up into without any left over string?

9.Page 60

Which two consecutive even numbers have an LCM of 180?

Solutions for 3: HCF and LCM

Practice Set 10Practice Set 11Practice Set 12Practice Set 13Practice Set 14
Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board chapter 3 - HCF and LCM - Shaalaa.com

Balbharati solutions for Mathematics Integrated [English] Standard 7 Maharashtra State Board chapter 3 - HCF and LCM

Shaalaa.com has the Maharashtra State Board Mathematics Mathematics Integrated [English] Standard 7 Maharashtra State Board Maharashtra State Board 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. Balbharati solutions for Mathematics Mathematics Integrated [English] Standard 7 Maharashtra State Board Maharashtra State Board 3 (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. Balbharati textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics Integrated [English] Standard 7 Maharashtra State Board chapter 3 HCF and LCM are Prime Factorisation, Highest Common Factor (HCF), Lowest Common Multiple, Co-prime Numbers, Prime and Composite Numbers.

Using Balbharati Mathematics Integrated [English] Standard 7 Maharashtra State Board 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 Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Mathematics Integrated [English] Standard 7 Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

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