Question

Which of the following pair will have Hcf 4

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Answer 1

Complete Question :- Which of the following pair will have HCF as 4 ?

(a) 8 , 32

(b) 16 , 72

(c) 12 , 16

(d) 40 , 60

Answer :-

Checking all options we get,

(a) 8, 32

prime factors of 8 and 32 are :-

→ 8 = 2 * 2 * 2

→ 32 = 2 * 2 * 2 * 2 * 2

so,

→ HCF = 2 * 2 * 2 = 8 .

option (a) does not have HCF as 4 .

(b) 16, 72

prime factors of 16 and 72 are :-

→ 16 = 2 * 2 * 2 * 2

→ 72 = 2 * 2 * 2 * 3 * 3

so,

→ HCF = 2 * 2 * 2 = 8 .

option (b) does not have HCF as 4 .

(c) 12 , 16

prime factors of 12 and 16 are :-

→ 12 = 2 * 2 * 3

→ 16 = 2 * 2 * 2 * 2

so,

→ HCF = 2 * 2 = 4 .

option (c) have HCF as 4 .

(d) 40, 60

prime factors of 40 and 60 are :-

→ 40 = 2 * 2 * 2 * 5

→ 60 = 2 * 2 * 3 * 5

so,

→ HCF = 2 * 2 * 5 = 20 .

option (d) does not have HCF as 4 .

Hence, Option (c) 12 , 16 has HCF as 4 .

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