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Method of Finding HCF

The greatest ...

Question

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is :

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Solution

LCM of 20, 28, 32, 35 = $1120$
Hence, the required number = $5834 - 1120 = 4714$

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