Question

Find the greatest number that will divide 38 and 53 leaving a remainder of 8

Answer 1

Answer:

15

Step-by-step explanation:

38÷15 = Quotient=2, Remainder=8

53÷15 = Quotient=3, Remainder=8

Hope this helps you.

Answer 2

Greatest number which will divide 38 and 53 leaving a remainder of 8 will be equal to H.C.F of (38-8) and (53-8)

Now 38-8 = 30 , 53-8= 45

Now HCF of 30, 45 can be find by Euclid algorithm i.e a=bx +c

45= 30 x 1 + 15
30 = 15 x 2 + 0

Therefore HCF = 15

Therefore your answer is 15 , you can check it

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