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Hcf of two positive integer and find the hcf of 32 and 54

Posted by Anjali Kumari 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

HCF of two or more positive integers is the largest positive integer that divides all the numbers exactly.
The given numbers are 32 and 54
By applying division lemma 54 = 32 {tex}\times{/tex} 1 + 22
Since remainder {tex}\neq{/tex} 0, apply division lemma on 32 and remainder 22
32 = 22 {tex}\times{/tex} 1 + 10
Since remainder ≠ 0, apply division lemma on 22 and remainder 10
22 = 10 {tex}\times{/tex} 2 + 2
Since remainder ≠ 0, apply division lemma on 10 and 2
10 = 2 {tex}\times{/tex} 5 + 0
Therefore, H.C.F. of 32 and 54 is 2.

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