The greatest number that will divide 398, 437 and 5425 leaving 7, 12 and 2 as remainders, respectively, is:
Deducting the remainders from numbers we get, 398 − 7 = 391 437 − 12 = 425 5425 − 2 = 5423 Now, 391 = 17 × 23 425 = 17 × 52 5425 = 17 × 11 × 29 So, HCF of these numbers = 17 ∴ The greatest number is 17.
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