Greatest Common Factor of 5236/325, 7884/2187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5236/325, 7884/2187

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 5236/325,7884/2187

Given fractions are 5236/325,7884/2187

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 5236,7884

Greatest Common Factor of Numerators i.e. GCF of 5236,7884 is 4 .

LCM of Denominators means LCM of 325,2187 as per the given fractions.

LCM of 325,2187 is 710775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5236,7884

GCF of Fractions 5236/325,7884/2187 is 4/710775

2 5236, 7884
2 2618, 3942
1309, 1971

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5236,7884 By Matching Biggest Common Factor Method

Greatest Common Factor of 5236,7884 By Matching Biggest Common Factor Method

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Greatest Common Factor

We found the factors 5236,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,7884 is 4.

Lets's calculate LCM of 325,2187

Given numbers has no common factors except 1. So, there LCM is their product i.e 710775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/710775

Therefore, the GCF of Fractions 5236/325,7884/2187 is 4/710775

Least Common Multiple of 325,2187 with GCF Formula

Least Common Multiple of 325,2187 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 325,2187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,2187) = 1

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

GCF(325,2187) x common factors =1 x 1 = 1

LCM(325,2187) = ( 325 × 2187 ) / 1

LCM(325,2187) = 710775 / 1

LCM(325,2187) = 710775


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 5236/325, 7884/2187

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 5236/325, 7884/2187?

Answer: GCF of Numerators as per given numbers 5236/325, 7884/2187 is

GCF of Numerators i.e. for 5236,7884 is 4

LCM of denominators i.e. for 325,2187 is 710775.

Thus, GCF of Fractions is 4/710775.Finally, GCF of Fractions for 5236/325, 7884/2187 is 4/710775.