Question

find the largest that divides 220, 313 and 716 leaving remainder 3 in each case​

Answer 1

Answer:

First we will subtract 3 from each no.-

220 - 3 = 217

313 - 3 = 310

716 - 3 = 713

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

217 = 7*31

310 = 2*5*31

713 = 23*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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Answer 2

First we will subtract 3 from all the numbers as they leave a reminder of 3.

220 - 3 = 217

313 - 3 = 310

716 - 3 = 713

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

217 = 7x31

310 = 2x5x31

713 = 23x31.

The HCF of 217,310,713 is 31.

Therefore the largest number dividing 220 313 and 716 leaving a reminder 3 is 31