Question

which is the largest number that divides 220 and 313 leaving a remainder öf 3 in each case.

Answer 1

First we will subtract 3 from each no.-

220 - 3 = 217
313 - 3 = 310

Then, we will find the HCF of 217,310,713

217 = 7*31
310 = 2*5*31

So, the HCF of 217,310,713 is 31.

So, therefore, the largest no. that divides 220,313, and 716 is 31.

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