Question

1. Find the HCF of the following numbers by prime factorisation method.
a. 21, 105
c. 14, 19
e. 54, 72
g. 12, 16
b. 50, 25
d. 85, 102
f. 22, 44
h. 132, 680
i. 46,72
j. 27. 64​

Answer 1

a.)21=3×7

105=5×3×7

HCF of 21 and 105=21

b.)14=2×7×1

19=19×1

HCF of 14 and 19=1

c.)54=2×3×3×3

72=2×2×2×2×3×3

HCF of 54 and 72=18

d.)12=3×2×2×

16=2×2×2×2

HCF of 12 and 16=4

e.)50=5×5×2

25=5×5

HCF of 50 and 25=25

f.)85=5×17

102=2×3×17

HCF of 85 and 102 =17

g.)22=2×11

44=2×2×11

HCF of 22 and 44 =11

h.)132=2×2×3

680=2×2×2×4×17

HCF of 132 and 680=4

I.)46=2×23

72=2×2×2×3×3

HCF of 46 and 72=2

j.)27=3×3×3

64=2×2×2×2×3×3

HCF of 27 and 64=9

Answer 2

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