Which of the following pair will have Hcf 4
Answers
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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