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Find the hcf of 240 and …

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Find the hcf of 240 and 6552 and express it in the form 6552x + 240y where x and y are also integers.Also find x and y

Posted by Hari J 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years ago

HCF of two or more numbers is the biggest common factor which divides all the said numbers exactly.
Now by applying Euclid’s Division lemma on 240 and 6552 we get
6552 = 240 $\times$ 27 + 72.
Since remainder ≠ 0, apply division lemma on divisor 240 and remainder 72
240 = 72 $\times$ 3 + 24.
Since remainder ≠ 0, apply division lemma on divisor 72 and remainder 24
72 = 24 $\times$ 3 + 0.
Here we get the remainder = 0
Hence, HCF of 6552 and 240 is 24.

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