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(a) 20 and 28

(b) 15 and 25

(c) 35 and 50

(d) 56 and 120

Answer :

(a) 20 and 28

Factors of 20 are 1, 2, 4, 5, 10, 20

Factors of 28 \(\rightarrow \) 1, 2, 4, 7, 28

Hence, the common factors \(\rightarrow \) 1, 2 and 4.

(b) 15 and 25

Factors of 15 \(\rightarrow \) 1, 3, 5, 15

Factors of 25 \(\rightarrow \)1, 5, 25

Hence, the common factors are 1 and 5.

(c) 35 and 50

Factors of 35 \(\rightarrow \) 1, 5, 7, 35

Factors of 50 \(\rightarrow \) 1, 2, 5, 10, 50

Hence, the common factors are 1 and 5.

(d) 56 and 120

Factors of 56 \(\rightarrow \) 1, 2, 4, 7, 8, 14, 28, 56

Factors of 120 \(\rightarrow\) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 30, 40, 60, 120

Hence, the common factors are 1,2, 4, and 8.

- Q.2 Find the common factors of: (a) 4, 8 and 12 (b) 5, 15 and 25
- Q.3 Find first three common multiples of: (a) 6 and 8 (b) 12 and 18
- Q.4 Write all the numbers less than 100 which are common multiples of 3 and 4.
- 5. Which of the following numbers are co-prime? (a) 18 and 35 (b) 15 and 37 (c) 30 and 415 (d) 17 and 68 (e) 216 and 215 (f) 81 and 16
- Q.6. A number is divisible by both 5 and 12. By which other number will that number be always divisible?
- Q.7. A number is divisible by 12. By what other numbers will that number be divisible?

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