The largest divisor

The largest number which divides 60 and 75 leaving remainders 8 and 10 respectively is:

Correct answer:

x =  13

Step-by-step explanation:

a=608=52 b=7510=65 52=2213 65=513 GCD(52,65)=13  x=GCD(a,b)=GCD(52,65)=13   Verifying Solution:   A=8+x 4=8+13 4=60 B=10+x 5=10+13 5=75

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