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What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively? 

(a) 13 (b) 9 (c) 3 (d) 585

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(a) 13 

We know the required number divides 65 (70 – 5) and 117 (125 – 8) 

∴ Required number = HCF (65, 117) 

We know, 

65 = 13 × 5 

117 = 13 × 3 × 3 

∴ HCF = 13

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