Question

Find the largest number which divides 320 & 740 leaving remainder 5 in each case.

Answer 1

320-5 = 315

740-5 = 735

L.C.M OF 315 AND 735 = ????

The highest common divisor will be the answer

Answer 2

$\huge\green{QUESTION}$

Find the largest number which divides 320 & 740 leaving remainder 5 in each case.

$\huge\red{Answer}$
$\blue{step \: by \: step \: method}$

GCD of 320 and 740 will be determined after subtracting 5 from each number.

So the numbers are 315 and 735.

Then 315=3×105 & 735=7×105.
The greatest common factor is 105.

So when 320 & 740 will be divided by 105 the remainder will be 5 for both the divisions.

$\pink{So \: the \: answer \: is \: 105}$