GCF (HCF) of 270 and 360

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What is the Greatest Common Divisor of 270 and 360?

Answer

GCF (HCF) of 270 and 360 is
90

Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

90 divides both: 270 ÷ 90 = 3, 360 ÷ 90 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

270 = 2 × 33 × 5

360 = 23 × 32 × 5

Prime270360Lowest power
22232
3333232
5555

GCF = 2 × 32 × 5 = 90

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GCF Table

Number 1Number 2GCF
27034515
2703462
2703471
2703486
2703491
27035010
27035127
2703522
2703531
2703546
2703555
2703562
2703573
2703582
2703591
27036090
2703611
2703622
2703633
2703642
2703655
2703666
2703671
2703682
2703699
27037010
2703711
2703726
2703731
2703742

FAQ

What is the Greatest Common Divisor of 270 and 360?

GCF (HCF) of 270 and 360 is 90

How to find the GCF of 270 and 360?

You can find the GCF of 270 and 360 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 360 is 90.

What prime factors do 270 and 360 share?

The prime factorizations of 270 and 360 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

How does the GCF reduce the fraction 270/360?

Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 360 ÷ 90 = 4. So 270/360 in lowest terms is 3/4.

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