Question
What is the greatest number that will divide 917 and
1337, leaving remainder 7 in each case?Solution
Subtract the common remainder 7 from both numbers: 917 - 7 = 910 1337 - 7 = 1330 Now find HCF of 910 and 1330. 1330 - 910 = 420 910 = 420 x 2 + 70 420 = 70 x 6 So HCF = 70
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