Question

Find the greatest number which divides 290 and 538 leaving reminders 3 and 5 respectively

Answer 1

Step-by-step explanation:

First let subtract the given reminder with respective numbers.

290 - 3 = 287

And,

538 - 5 = 533

Now, let's find the HCF of 287 and 533.

287 = 7 x 41

533 = 13 x 41

So, HCF = 41

And 41 is the required number.