Question

find the greatest number that divide 98 and 165 leaving the remainder 6 and 4 respectively​

Answer 1

Answer:

What is the greatest number that can divide 98 and 165 and leaves a remainder of 6 and 4?

98–6 = 92

165–4 = 161

92 = 2x2x23

161 = 7x23

The HCF = 23.

So the greatest number is 23 which divides 98 and 165 leaving remainders as 6 and 4, respectively.

Check: 98/23 = 4 as quotient and 6 as remainder. Correct.

165/23 = 7 as quotient and 4 as remainder. Correct.