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The number 525 and 3000 are both divisib...

The number 525 and 3000 are both divisible only 3,5,15,25,75. What is HCF (525, 3000)? Justify your answer.

Text Solution

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The numbers 525 and 3000 both are divisible by 3,5,15,25 and 75`:.` Highest common factor is 75.
Hence H.C.F. (3000, 525 )=75
Verification :
`3000=525 xx 5 +375`
`525 =375 xx 1+150`
`375 =150 xx 2 +75`
`150 =75 xx 2+0`
`:. H.C.F. (3000 ,525 )=75`
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