Explanation:
Exp: A
13
Since, 5 and 8 are the remainders of 70 and 125, respectively.
Thus, after subtracting these remainders from the numbers, we have the numbers 65 = (70 - 5), 117 = (125 - 8), which is divisible by the required number.
Now, required number = HCF of 65, 117
[For the largest number]
For this, 117 = 65 × 1 + 52 [Dividend = divisor × quotient + remainder]
\(\Rightarrow\)65 = 52 × 1 + 13
\(\Rightarrow\)52 = 13 × 4 + 0
HCF = 13
Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8.
Applying