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Question

Find the largest number which leaves the remainder 4 and 6 respectively when it divides 220 and 186

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Solution

We have to find the hcf of(220-4,186-6)
IE hcf(216,180)
since 216and 180 will be completely divisible by that number
so the answer will be 36
(when 220/36 remainder is 4
when 186/36 remainder is 6)

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