find the hcf of 850 and 225 by Euclid's division lemma
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Given integers are 225 and 135.
Clearly 225 > 135.
So we will apply Euclid’s division lemma to 225 and 135, we get,
867 = (225) (3) + 192
Since the remainder ≠ 0. So we apply the division lemma to the divisor 135 and remainder 90. We get,
135 = (90) (1) + 45
Now we apply the division lemma to the new divisor 90 and remainder 45. We get,
90 = (45) (2) + 0
The remainder at this stage is 0. So the divisor at this stage is the H.C.F.
So, the H.C.F of 225 and 135 is 45
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