Question

Out of the following which pair has HCF 1=_______?,Answer the given question by selecting proper alternative.
(A) 33 and 37
(B) 2 and 8
(C) 7 and 21
(D) 25 and 75

Answer 1

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☸ Required Answer is :- (A). 33 nd 37 .


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Answer 2

Option ( A ) is correct .

Explanation :

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HCF of numbers = Product of the

smallest power of each common

prime factors of the numbers .

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A ) 33 = 3 × 11

37 = 1 × 37

HCF( 33,37 ) = 1

B ) 2 = 1 × 2

8 = 2³

HCF ( 2 , 8 ) = 2

C ) 7 = 1 × 7

21 = 3 × 7

HCF ( 7,21) = 7

D ) 25 = 5²

75 = 3 × 5²

HCF( 25, 75 ) = 25

Therefore,

( 33 , 37 ) has HCF 1 .

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