Question

Find the H.C.F of the following numbers by the prime factorization method

a)18 and 27
b)35and 75
c)144and 360
d)30,40and45
e)144,384and432
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Answer 1

a) 18 = 2 x 3^2

27 = 3^3

-> HCF = 3^2 = 9

b) 35 = 5 x 7

75 = 3 x 5^2

-> HCF = 5

c) 144 = 2^4 x 3^2

360 = 2^3 x 3^2 x 5

-> HCF = 2^3 x 3^2 = 72.

d) 30 = 2 x 3 x 5

40 = 2^3 x 5

45 = 3^2 x 5

-> HCF = 5

e) 144 = 2^4 x 3^2

384 = 2^7 x 3

432 = 2^4 x 3^3

-> HCF = 2^4 x 3 = 48.

Answer 2

Explanation:

is a 18 and 27 yes to the following question