6. The numbers 525 and 3000 are both divisible only by 3, 5, 15,25 and 75. What is
HCF (525, 3000)? Justify your answer. if didn't ans would be reported
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Question:-
The numbers 525 and 3000 are both divisible only by 3, 5, 15,25 and 75. What is
HCF (525, 3000)? Justify your answer.
Answer :-
HCF of (525,3000) is 75 .
see, 525 and 3000 are divisible by 3,5,15,25,75 but HCF means Higest Common Factor and 75 is the highest amongst them.
another way of solving this question:-
by using Euler's Division Lemma
according to this, any number 'a' can be represented in the form: bx + c where a,b are real numbers.
lets take the example of your question:-
a=3000
b=525
3000=525*5 +375
525=375*1 +150
375=150*2+75
150=75*2+0
when c becomes 0 the number in the place of the bolded one is the HCF
so the HCF(3000,525) is 75
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