Question

Largest two digit number that divide 673 and 865 leaving reaminder 1 in each case

Answer 1

To find the largest two digit number that divides 673 and 865, leaving remainder 1 in each case, first we have to subtract 1 from both the numbers and then we will compute H.C.F. of both the numbers. So, 96 is the largest two digit number that 673 and 865, leaving remainder 1 in each case

Answer 2

Answer: 96

Step-by-step explanation:

Subtract the reminder from the numbers

673 - 1 = 672

865 - 1 = 864

Now, find the HCF of 672 , 864

672 = 2*2*2*2*2*3*7 = 2^5 * 3 * 7

864 = 2*2*2*2*2*3*3*3 = 2^5 * 3^3

HCF = 2^5 * 3 = 32 * 3 = 96