Question
What is the greatest number that will divide 245 and
1029, leaving remainder 5 in each case?Solution
ATQ, If remainder is 5, subtract 5 from both numbers: 245 - 5 = 240 1029 - 5 = 1024 Now find HCF of 240 and 1024. 1024 ÷ 240 leaves remainder 64 240 ÷ 64 leaves remainder 48 64 ÷ 48 leaves remainder 16 48 ÷ 16 leaves remainder 0 So HCF = 16
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