GCF of 228 and 380 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 228 and 380?

Answer

GCF of 228 and 380 is
76

(Seventy-six)

Finding GCF for 228 and 380 using all factors (divisors) listing

The first method to find GCF for numbers 228 and 380 is to list all factors for both numbers and pick the highest common one:

All factors of 228: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

All factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

So the Greatest Common Factor for 228 and 380 is 76

Finding GCF for 228 and 380 by Prime Factorization

The second method to find GCF for numbers 228 and 380 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 228: 2, 2, 3, 19

All Prime Factors of 380: 2, 2, 5, 19

As we can see there are Prime Factors common to both numbers: 2, 2, 19

Now we need to multiply them to find GCF: 2 × 2 × 19 = 76

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 228 and 380? (The answer is: 76). Select the first number (e.g. '228') and the second number (e.g. '380'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
2283651
2283666
2283671
2283684
2283693
2283702
2283711
22837212
2283731
2283742
2283753
2283764
2283771
2283786
2283791
22838076
2283813
2283822
2283831
22838412
2283851
2283862
2283873
2283884
2283891
2283906
2283911
2283924
2283933
2283942

FAQ

What is the Greatest Common Divisor of 228 and 380?

GCF of 228 and 380 is 76

How to find the GCF of 228 and 380?

You can find the GCF of 228 and 380 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 228 and 380 is 76.

What prime factors do 228 and 380 share?

The prime factorizations of 228 and 380 have 2 × 2 × 19 in common, and multiplying those shared primes gives 76 — exactly the greatest common factor.

How does the GCF reduce the fraction 228/380?

Divide the numerator and the denominator by the GCF 76: 228 ÷ 76 = 3 and 380 ÷ 76 = 5. So 228/380 in lowest terms is 3/5.

See Also