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Find the H.C.F of 468 & 222 & then express it in the form 468x + 22y.

 First we will find the HCF of 468 and 222 by Euclid 's division lemma,

468 = 222 × 2 + 24
222 = 24 ×9 + 6
24 = 6 × 4 + 0

Since remainder is 0, so HCF of 468 and 222 is 6.

Now, By trial and error method,
468x + 222y = HCF
=> 468x + 222y = 6
If we put (1/4) in 'x ' and (-2/4) in y we can express the HCF in this form.
468(1/4) + 222(-2/4) = 117 - 111 = 6
 So, Value of x will be 1/4 and y would be -2/4 .


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