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.