The greatest number that will divide 527 and 632 leaving remainders 7 and 8, respectively, is:
Given:
Number divides 527 leaving remainder 7
Number divides 632 leaving remainder 8
Find the greatest such number.
Solution:
Subtract remainders
527 - 7 = 520
632 - 8 = 624
HCF using division:
624 = 520× 1 + 104
520 = 104 × 5 + 0
So,
HCF = 104
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