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What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case ?
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- 8
- 18
- 28
- 38
Correct Option: B
As we know that the largest number which when divide the numbers a, b and c give remainders as p, q, r respectively is given by H.C.F. of (a – p), (b – q) and (c – r).
Required number = HCF of (110 – 2) and (128 – 2)
Required number = HCF of 108 and 126 = 18