Question

Which greatest 2 didgit number divides 673 and 865 leaves remainder as 1 in each case?

Answer 1

Answer:

96

Step-by-step explanation:

First subtract the reminder from the number and then find the highest common factor among them.

So, 673 - 1 = 672

     865 - 1 = 864

Now, factors the numbers

672 = 2 * 2 * 2 * 2 * 2 * 3 * 7.

864 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3

The HCF of the numbers are

HCF = 2 * 2 * 2 * 2 * 2 * 3 = 96.

Therefore, The largest two digit number that divides 673 and 865 leaving remainder 1 in each is 96.