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Highest Common Factors

.Find the gre...

Question

.Find the greatest number which divides 1475 and 485 ,leaving remainder 5 in each case.

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Solution

Subtract 5 from Each number and then find out HCF

1475-5 & 485-5
1470&480

HCF of 1470&480 by Euclid division lemma(a=bq+r)
Here a=1470 & b=480

1470=480*3+30,divide 1470 by 480 and tgen write reminder as r
480=16+0
so the answer is 16

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