Question

find the greatest number which divides 742 and 1162 leaving 7 as reminder in each case?

Answer 1

Answer:



This is a slight twist to the normal find the GCF of two numbers.

In this case as a remainder of 7 is required, subtracting 7 from each number and then finding the GCF of the resulting numbers will solve the problem:

742 - 7 = 735
1162 - 7 = 1155

GCF of 1155 and 735 (using Euclid's method):

1155 / 735 = 1 r 420
735 / 420 = 1 r 315
420 / 315 = 1 r 105
315 / 105 = 3 r 0


GCF of 735 & 1155

Answer 2

i have 1 more question

Answer 3

yes?