Express the HCF of 468 and 222 as 468x + 222y where x, y are integers in two different ways.

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Solution

We need to express the H.C.F. of 468 and 222 as

Where x, y are integers in two different ways.

Given integers are 468 and 222, where

By applying Euclid’s division lemma, we get

Since the remainder, so apply division lemma on divisor 222 and remainder 24

Since the remainder, so apply division lemma on divisor 24 and remainder 6

We observe that remainder is 0. So the last divisor 6 is the H.C.F. of 468 and 222 from we have

.

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Similar questions

Express the HCF of 468 and 222 as 468x + 222y where x, y are integers in two different ways.

Q. When the HCF of

468

and

222

is written in the form of

468 x + 222 y

then the value of

x

and

y

Q. The HCF of 468 and 222 is

If two positive integer x and y are expressible in the term of primes as $x = p^{2} q^{3}$ and $y = p^{3} q$ what can you say about their LCM and HCF , is LCM is multiple of HCF ?

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