Question 72

What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?

Solution

Given numbers are 209 and 347 and the remainders are 5 and 7 respectively
HCF of 209-5,347-7
HCF of 204 and 340
204=17*2*2*3
340=17*2*2*5
HCF=17*2=34


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