Greatest Common Factor of 2283/79, 7980/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2283/79, 7980/324

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2283/79,7980/324

Given fractions are 2283/79,7980/324

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2283,7980

Greatest Common Factor of Numerators i.e. GCF of 2283,7980 is 3 .

LCM of Denominators means LCM of 79,324 as per the given fractions.

LCM of 79,324 is 25596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2283,7980

GCF of Fractions 2283/79,7980/324 is 3/25596

3 2283, 7980
761, 2660

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2283,7980 By Matching Biggest Common Factor Method

Greatest Common Factor of 2283,7980 By Matching Biggest Common Factor Method

Factors of 2283

List of positive integer factors of 2283 that divides 2283 without a remainder.

1,3,761,2283

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors 2283,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,7980 is 3.

Lets's calculate LCM of 79,324

Given numbers has no common factors except 1. So, there LCM is their product i.e 25596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25596

Therefore, the GCF of Fractions 2283/79,7980/324 is 3/25596

Least Common Multiple of 79,324 with GCF Formula

Least Common Multiple of 79,324 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 79,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,324) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,324) x common factors =1 x 1 = 1

LCM(79,324) = ( 79 × 324 ) / 1

LCM(79,324) = 25596 / 1

LCM(79,324) = 25596


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2283/79, 7980/324

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2283/79, 7980/324?

Answer: GCF of Numerators as per given numbers 2283/79, 7980/324 is

GCF of Numerators i.e. for 2283,7980 is 3

LCM of denominators i.e. for 79,324 is 25596.

Thus, GCF of Fractions is 3/25596.Finally, GCF of Fractions for 2283/79, 7980/324 is 3/25596.