GCF (HCF) of 189 and 200

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What is the Greatest Common Divisor of 189 and 200?

Answer

GCF (HCF) of 189 and 200 is
1

Common factors: 1

Only 1 divides both: 189 and 200 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 189 × 200 = 37,800.

189 = 33 × 7

200 = 23 × 52

Prime189200Lowest power
2—23—
333——
5—52—
77——

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

GCF = 1

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GCF Table

Number 1Number 2GCF
1891851
1891863
1891871
1891881
189189189
1891901
1891911
1891923
1891931
1891941
1891953
1891967
1891971
1891989
1891991
1892001
1892013
1892021
1892037
1892043
1892051
1892061
1892079
1892081
1892091
18921021
1892111
1892121
1892133
1892141

FAQ

What is the Greatest Common Divisor of 189 and 200?

GCF (HCF) of 189 and 200 is 1

How to find the GCF of 189 and 200?

You can find the GCF of 189 and 200 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 189 and 200 is 1.

What prime factors do 189 and 200 share?

189 and 200 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 189/200?

Divide the numerator and the denominator by the GCF 1: 189 ÷ 1 = 189 and 200 ÷ 1 = 200. So 189/200 in lowest terms is 189/200.

Are 189 and 200 coprime?

Yes, 189 and 200 are coprime (relatively prime) because their Greatest Common Factor is 1.

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