Find the HCF of the following numbers.i. 45, 30 ii. 16, 48 iii. 39,

1.	Find the HCF of the following numbers.i. 45, 30 ii. 16, 48 iii. 39, 25 iv. 49, 56 v. 120, 144
Answer» i. Factors of 45 = 1, 3, 5, 9,15, 45 Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 ∴ HCF of 45 and 30 = 15 ii. Factors of 16 = 1, 2, 4, 8, 16 Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 ∴ HCF of 16 and 48 = 16 iii. Factors of 39 = 1, 3, 13, 39 Factors of 25 = 1, 5, 25 ∴ HCF of 39 and 25 = 1 iv. Factors of 49 = 1, 7, 49 Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56 ∴ HCF of 49 and 56 = 7 v. Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144 ∴ HCF of 120 and 144 = 24

Find the HCF of the following numbers.i. 45, 30 ii. 16, 48 iii. 39, 25 iv. 49, 56 v. 120, 144

Answer»

i. Factors of 45 = 1, 3, 5, 9,15, 45

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

∴ HCF of 45 and 30 = 15

ii. Factors of 16 = 1, 2, 4, 8, 16

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

∴ HCF of 16 and 48 = 16

iii. Factors of 39 = 1, 3, 13, 39

Factors of 25 = 1, 5, 25

∴ HCF of 39 and 25 = 1

iv. Factors of 49 = 1, 7, 49

Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56

∴ HCF of 49 and 56 = 7

v. Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

∴ HCF of 120 and 144 = 24