find the largest number dividing 70 and 125 leaving remainder 5 and 8 respectively
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13
Since, 5 and 8 are remainders of 70 and 125 respectively. Thus, after subtracting these remainders from the numbers, we have the number 65 = (70 - 5), 117 = (125 - 8), which is divisible by the required number. Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8
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