Question

The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively,isa

Answer 1

Answer :

13 is the biggest number that leaves remainder 5 and 8 respectively.

$\rule{100}2$

In order to find the greatest number, we've to find the H.C.F of :

• 70 - 5 = 65
• 125 - 8 = 117

→ 65 = 5 × 13

→ 117 = 3² × 13

∴ H.C.F = 13

$\rule{200}2$

Answer 2

13 is the biggest number that leaves remainder 5 and 8 respectively.

In order to find the greatest number, we've to find the H.C.F of :

70 - 5 = 65

125 - 8 = 117

→ 65 = 5 × 13

→ 117 = 3² × 13

THEREFORE H.C.F = 13