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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What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?
(a) 13
(b) 9
(c) 3
(d) 585
What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?
(a) 13
(b) 9
(c) 3
(d) 585
(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