The DAV Class 5 Maths Book Solutions Pdf and DAV Class 5 Maths Chapter 3 Worksheet 6 Solutions of Multiples and Factors offer comprehensive answers to textbook questions.
DAV Class 5 Maths Ch 3 Worksheet 6 Solutions
Question 1.
Find the common factors in each case:
(a) 10, 15
Factors of 10 : __________
Factors of 15 : __________
Common factors of 10 and 15 : __________
Solution:
10, 15
Factors of 10 : 1, 2, 5, 10
Factors of 15 : 1, 3, 5, 15
Common factors of 10 and 15 : 1, 5
(b) 5, 10, 25
Factors of 5 : __________
Factors of 10 : __________
Factors of 25 : __________
Common factors of 5, 10 and 25 : __________
Solution:
5, 10, 25
Factors of 5 : 1, 5
Factors of 10 : 1, 2, 5, 10
Factors of 25 : 1, 5, 25
Common factors of 5, 10 and 25 : 1, 5
(c) 12, 18
Factors of 12 : __________
Factors of 18 : __________
Common factors of 12 and 18 : __________
Solution:
12, 18
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 18 : 1, 2, 3, 6, 9, 18
Common factors of 12 and 18 : 1, 2, 3, 6
(d) 21, 30
Factors of 21 : __________
Factors of 30 : __________
Common factors of 21 and 30 : __________
Solution:
21, 30
Factors of 21 : 1, 3, 7, 21
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
Common factors of 21 and 30 : 1, 3
(e) 9, 24, 27
Factors of 9 : __________
Factors of 24 : __________
Factors of 27 : __________
Common factors of 9, 24 and 27 : __________
Solution:
9, 24, 27
Factors of 9 : 1, 3, 9
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
Factors of 27 : 1, 3, 9, 27
Common factors of 9, 24 and 27 : 1, 3
(f) 14, 17, 22
Factors of 14 : __________
Factors of 17 : __________
Factors of 22 : __________
Common factors of 14, 17 and 22 : __________
Solution:
14, 17, 22
Factors of 14 : 1, 2, 7, 14
Factors of 17 : 1, 17
Factors of 22 : 1, 2, 11, 22
Common factors of 14, 17 and 22 : 1
Question 2.
Find the HCF of the following:
(a) 20, 30
Solution:
20, 30
Factors of 20 : 1, 2, 4, 5, 10, 20
Factors of 30 : 1, 2, 3, 5, 6, 10, 15
Common factors of 20 and 30 : 1, 2, 5, 10
HCF of 20 and 30 : 10
(b) 19, 38
Solution:
19, 38
Factors of 19 : 1, 19
Factors of 38 : 1, 2, 19, 38
Common factors of 19 and 38 : 1, 19
HCF of 19 and 38 : 19
(c) 16, 28
Solution:
16, 28
Factors of 16: 1, 2, 4, 8, 16
Factors of 28: 1, 2, 4, 7, 14, 28
Common factors of 16 and 18 : 1, 2, 4
HCF of 16 and 28 : 4
(d) 25, 35
Solution:
25, 35
Factors of 25 : 1, 5, 25
Factors of 35 : 1, 5, 7, 35
Common factors of 25 and 35 : 1, 5
HCF of 25 and 35 : 5
(e) 10, 16, 23
Solution:
10, 16, 23
Factors of 10 : 1, 2, 5, 10
Factors of 16 : 1, 2, 4, 8, 16
Factors of 23 : 1, 23
Common factors of 10, 16 and 23 : 1
HCF of 10, 16 and 23 : 1
(f) 20, 30, 40
Solution:
20, 30, 40
Factors of 20 : 1, 2, 4, 5, 10, 20
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
Factors of 40 : 1, 2, 4, 5, 8, 10, 20, 40
Common factors of 20, 30 and 40 : 1, 2, 5, 10
HCF of 20, 30 and 40 : 10
(g) 9, 12, 15
Solution:
9, 12, 15
Factors of 9 : 1, 3, 9
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 15: 1, 3, 5, 15
Common factors of 9, 12 and 15 : 1, 3
HCF of 9, 12 and 15 : 3
(h) 12, 16, 20
Solution:
12, 16, 20
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 16 : 1, 2, 4, 8, 16
Factors of 20 : 1, 2, 4, 5, 10, 20
Common factors of 12, 16 and 20 : 1, 2, 4
HCF of 12, 16 and 20: 4
(i) 8, 24, 36
Solution:
8, 24, 36
Factors of 8 : 1, 2, 4, 8
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
Common factors of 8, 24 and 36 : 1, 2, 4
HCF of 8, 24 and 36 : 4
(j) 5, 25, 35
Solution:
5, 25, 35
Factors of 5 : 1, 5
Factors of 25 : 1, 5, 25
Factors of 35 : 1, 5, 7, 35
Common factors of 5, 25 and 35 : 1, 5
HCF of 5, 25 and 35 : 5
(k) 12, 20, 60
Solution:
12, 20, 60
Factors of 12 : 1, 2, 3, 4, 6, 12
Factors of 20 : 1, 2, 4, 5, 10, 20
Factors of 60 : 1, 2, 3, 4, 5, 6, 10, 15, 30, 60
Common factors of 12, 20 and 60 : 1, 2, 4
HCF of 12, 20 and 60 : 4
DAV Class 5 Maths Chapter 3 Worksheet 6 Notes
(i) Taking two numbers.
Take two numbers 9, 12
Factors of 9 : 1, 3, 9
Factors of 12 : 1, 2, 3, 4, 6, 12
So, the common factors of 9 and 12 are 1, 3.
Among all the common factors, the greatest factor is 3.
So, the Highest Common Factor (HCF) of 9 and 12 is 3.
(ii) Taking three numbers.
Take three numbers, 4, 16 and 20.
Factors of 4 : 1, 2, 4
Factors of 16 : 1, 2, 4, 8, 16
Factors of 20 : 1, 2, 4, 5, 10, 20
The common factors of 4, 16 and 20 are 1, 2, 4.
Among these 4 is the greatest common factor.
So, the Highest Common Factor of 4, 16 and 20 is 4.
1 is the common factor of any two or more numbers.