GCF for 240, 360 and 900

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Greatest Common Factor of
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What's the Greatest Common Factor (GCF) of 240, 360 and 900?

Answer

GCF of 240, 360 and 900 is
60

Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

60 divides all three: 240 ÷ 60 = 4, 360 ÷ 60 = 6, 900 ÷ 60 = 15 — and 4, 6 and 15 have no factor but 1 common to all of them, so no larger number divides all three.

240 = 24 × 3 × 5

360 = 23 × 32 × 5

900 = 22 × 32 × 52

Prime240360900Lowest power
224232222
3332323
555525

GCF = 22 × 3 × 5 = 60

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See Also

GCF Table

1st2nd3rdGCF
24036088515
2403608862
2403608871
24036088824
2403608891
24036089010
2403608913
2403608924
2403608931
2403608946
2403608955
2403608968
2403608973
2403608982
2403608991
24036090060
2403609011
2403609022
2403609033
2403609048
2403609055
2403609066
2403609071
2403609084
2403609093
24036091010
2403609111
24036091224
2403609131
2403609142

FAQ

What's the Greatest Common Factor (GCF) of 240, 360 and 900?

GCF of 240, 360 and 900 is 60

What prime factors do 240, 360 and 900 share?

All three factorizations contain 2 × 2 × 3 × 5, and multiplying those shared primes gives 60 — exactly the greatest common factor.

Can you get the GCF of 240, 360 and 900 two numbers at a time?

Yes. The GCF of 240 and 360 is 120, and the GCF of 120 and 900 is 60 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 240 : 360 : 900?

Divide every term by the GCF 60: 240 ÷ 60 = 4, 360 ÷ 60 = 6 and 900 ÷ 60 = 15. So 240 : 360 : 900 in lowest terms is 4 : 6 : 15, and no whole number other than 1 divides all three of those.

See Also