use Euclid's division algorithm to find the HCF of
1)135and225
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Given integers here are 225 and 135. On comparing, we find 225 > 135.
So, by applying Euclid’s division lemma to 225 and 135, we get
225 = 135 x 1 + 90
Since the remainder ≠ 0. So we apply the division lemma to the divisor 135 and remainder 90.
⇒ 135 = 90 x 1 + 45
Now we apply the division lemma to the new divisor 90 and remainder 45.
⇒ 90 = 45 x 2 + 0
Since the remainder at this stage is 0, the divisor will be the HCF.
Hence, the H.C.F of 225 and 135 is 45.
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4
Answer:
225>135
225=135× 1+90
135 = 90×1 +45
90 = 45×2 +0
Therefore, H.C.F of 135 &225 is 45.
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