the numbers 525 and 3000 are both divisible by 3 5 15 25 and 75 what is the HCF of 525 and 3000 justify your answer
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Answered by
15
3000= 525*5+375
525=375*1+150
375=150*2+75
150=75*2+0
therefore the hcf of 525 and 3000 is 75
please mark it as a branliest answer
525=375*1+150
375=150*2+75
150=75*2+0
therefore the hcf of 525 and 3000 is 75
please mark it as a branliest answer
namanguptarr:
please mark it as a branliest answer
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Answered by
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Answer:
Step-by-step explanation:
Since, the common factors of 525 and 3000 are 3, 5, 15, 25, 75.
So, HCF (525 and 3000) = 75
Finding HCF by Euclid's Lemma,
3000
=
525
×
5
+
375
[
∵
Dividend
=
Divisor
×
Quotient
+
Remainder
]
525
=
375
×
1
+
150
375
=
150
×
2
+
75
150
=
75
×
2
+
0
⇒
HCF (525 and 3000) = 75
The numbers 3, 5, 15, 25 and 75 divides the numbers 525 and 3000. It means these terms are common in both 525 and 3000.
So, the highest common factor among these is 75.
HOPE THIS HELPS YOU :)
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