GCF (HCF) of 210 and 2730

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What is the Greatest Common Divisor of 210 and 2,730?

Answer

GCF (HCF) of 210 and 2,730 is
210

Common factors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, …, 16 in all

210 divides 2,730 (2,730 ÷ 210 = 13), so the GCF is the smaller number itself.

All 16 common factors

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

210 = 2 × 3 × 5 × 7

2,730 = 2 × 3 × 5 × 7 × 13

Prime2102,730Lowest power
2222
3333
5555
7777
13—13—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 3 × 5 × 7 = 210

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GCF Table

Number 1Number 2GCF
2102,71515
2102,71614
2102,7171
2102,7186
2102,7191
2102,72010
2102,7213
2102,7222
2102,7237
2102,7246
2102,7255
2102,7262
2102,7273
2102,7282
2102,7291
2102,730210
2102,7311
2102,7322
2102,7333
2102,7342
2102,7355
2102,7366
2102,7377
2102,7382
2102,7393
2102,74010
2102,7411
2102,7426
2102,7431
2102,74414

FAQ

What is the Greatest Common Divisor of 210 and 2,730?

GCF (HCF) of 210 and 2,730 is 210

How to find the GCF of 210 and 2,730?

You can find the GCF of 210 and 2,730 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 2,730 is 210.

What prime factors do 210 and 2,730 share?

The prime factorizations of 210 and 2,730 have 2 × 3 × 5 × 7 in common, and multiplying those shared primes gives 210 — exactly the greatest common factor.

How does the GCF reduce the fraction 210/2730?

Divide the numerator and the denominator by the GCF 210: 210 ÷ 210 = 1 and 2,730 ÷ 210 = 13. So 210/2730 in lowest terms is 1/13.

See Also