Page 5 - ln2-7

Example 3

• Find the largest The number divides 92 and leaves 2

number that as remainder

divides 92 and Therefore, the number divides 92 - 2 =
90 exactly
74 leaving 2 as The number also divides 74 leaving 2

remainder. as remainder

Therefore, the number divides 74 - 2 =

72 exactly

Now we have to find highest common
factor (H.C.F.) of 90 and 72

Highest common factor (H.C.F.) of 90

and 72 = 18

Therefore, 18 is the required number.