GCF of 270 and 900 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 270 and 900?

Answer

GCF of 270 and 900 is
90

(Ninety)

Finding GCF for 270 and 900 using all factors (divisors) listing

The first method to find GCF for numbers 270 and 900 is to list all factors for both numbers and pick the highest common one:

All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

All factors of 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

So the Greatest Common Factor for 270 and 900 is 90

Finding GCF for 270 and 900 by Prime Factorization

The second method to find GCF for numbers 270 and 900 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 270: 2, 3, 3, 3, 5

All Prime Factors of 900: 2, 2, 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

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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 270 and 900? (The answer is: 90). Select the first number (e.g. '270') and the second number (e.g. '900'). 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
27088515
2708862
2708871
2708886
2708891
27089010
27089127
2708922
2708931
2708946
2708955
2708962
2708973
2708982
2708991
27090090
2709011
2709022
2709033
2709042
2709055
2709066
2709071
2709082
2709099
27091010
2709111
2709126
2709131
2709142

FAQ

What is the Greatest Common Divisor of 270 and 900?

GCF of 270 and 900 is 90

How to find the GCF of 270 and 900?

You can find the GCF of 270 and 900 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 900 is 90.

What prime factors do 270 and 900 share?

The prime factorizations of 270 and 900 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 270/900?

Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 900 ÷ 90 = 10. So 270/900 in lowest terms is 3/10.

See Also