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Chapters
1: Geometrical Constructions
2: Multiplication and Division of Integers
▶ 3: HCF and LCM
4: Angles and Pairs of Angles
Part 2
5: Operations on Rational Numbers
6: Indices
7: Joint Bar Graph
8: Algebraic Expressions and Operations on them
Part 3
9: Direct Proportion and Inverse Proportion
10: Banks and Simple Interest
11: Circle
12: Perimeter and Area
Part 4
13: Pythagoras' Theorem
14: Algebraic Formulae-Expansion of Squares
15: Statistics
![Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ chapter 3 - HCF and LCM - Shaalaa.com](/images/mathematics-integrated-english-standard-7-maharashtra-state-board_6:4d3e0f15b5174f119429a0502bef1793.jpg "Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ chapter 3 - HCF and LCM")
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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 माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ.
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ 3 HCF and LCM Practice Set 10 [Page 52]
Which number is neither a prime number nor a composite number?
Which of the following are pairs of co-primes?
8, 14
4, 5
17, 19
27, 15
List the prime numbers from 25 to 100 and say how many they are.
Write all the twin prime numbers from 51 to 100.
Write 5 pairs of twin prime numbers from 1 to 50.
Which are the even prime numbers?
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ 3 HCF and LCM Practice Set 11 [Page 54]
Factorise the following number into prime.
32
Factorise the following number into prime.
57
Factorise the following number into prime.
23
Factorise the following number into prime.
150
Factorise the following number into prime.
216
Factorise the following number into prime.
208
Factorise the following number into prime.
765
Factorise the following number into prime.
342
Factorise the following number into prime.
377
Factorise the following number into prime.
559
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ 3 HCF and LCM Practice Set 12 [Page 56]
Find the HCF:
25, 40
Find the HCF:
56, 32
Find the HCF:
40, 60, 75
Find the HCF:
16, 27
Find the HCF:
18, 32, 48
Find the HCF:
105, 154
Find the HCF:
42, 45, 48
Find the HCF:
57, 75, 102
Find the HCF:
56, 57
Find the HCF:
777, 315, 588
Find the HCF by the division method and reduce to the simplest form.
`275/525`
Find the HCF by the division method and reduce to the simplest form.
`76/133`
Find the HCF by the division method and reduce to the simplest form.
`161/69`
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ 3 HCF and LCM Practice Set 13 [Page 58]
Find the LCM:
12, 15
Find the LCM:
6, 8, 10
Find the LCM:
18, 32
Find the LCM:
10, 15, 20
Find the LCM:
45, 86
Find the LCM:
15, 30, 90
Find the LCM:
105, 195
Find the LCM:
12, 15, 45
Find the LCM:
63, 81
Find the LCM:
18, 36, 27
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
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
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
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
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
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ 3 HCF and LCM Practice Set 14 [Page 60]
Choose the right option.
The HCF of 120 and 150 is ______.
30
45
20
120
The HCF of this pair of numbers is not 1.
13, 17
29, 20
40, 20
14, 15
Find the HCF and LCM:
14, 28
Find the HCF and LCM:
32, 16
Find the HCF and LCM:
17, 102, 170
Find the HCF and LCM:
23, 69
Find the HCF and LCM:
21, 49, 84
Find the LCM:
36, 42
Find the LCM:
15, 25, 30
Find the LCM:
18, 42, 48
Find the LCM:
4, 12, 20
Find the LCM:
24, 40, 80, 120
Find the smallest number which when divided by 8, 9, 10, 15, or 20 gives a remainder of 5 every time.
Reduce the fractions `348/319, 221/247, 437/551` to the lowest terms.
The LCM and HCF of two numbers are 432 and 72 respectively. If one of the numbers is 216, what is the other?
The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM?
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?
Which two consecutive even numbers have an LCM of 180?
Solutions for 3: HCF and LCM
Balbharati solutions for माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ chapter 3 - HCF and LCM
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Concepts covered in माठेमटिक्स इंटेगरटेड [इंग्रजी] इयत्ता ७ महाराष्ट्र राज्य मंडळ chapter 3 HCF and LCM are Prime Factorisation, Highest Common Factor (HCF), Lowest Common Multiple, Co-prime Numbers, Prime and Composite Numbers.
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