The numbers 525 and 3000 are both divisible b | vedclass

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Question

(A) The $HCF$ (Highest Common Factor) is the largest number that divides both given numbers.Given that $525$ and $3000$ are divisible by $3, 5, 15, 25

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(A) The $HCF$ (Highest Common Factor) is the largest number that divides both given numbers.Given that $525$ and $3000$ are divisible by $3, 5, 15, 25,$ and $75$,the largest among these is $75$.To justify using Euclid's Division Lemma:$3000 = 525 	imes 5 + 375$$525 = 375 	imes 1 + 150$$375 = 150 	imes 2 + 75$$150 = 75 	imes 2 + 0$Since the remainder is $0$ when the divisor is $75$,the $HCF(525, 3000) = 75$.

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

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