Greatest Common Factor of 7112/615, 3246/5424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7112/615, 3246/5424

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 7112/615,3246/5424

Given fractions are 7112/615,3246/5424

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 7112,3246

Greatest Common Factor of Numerators i.e. GCF of 7112,3246 is 2 .

LCM of Denominators means LCM of 615,5424 as per the given fractions.

LCM of 615,5424 is 1111920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7112,3246

GCF of Fractions 7112/615,3246/5424 is 2/1111920

2 7112, 3246
3556, 1623

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

Greatest Common Factor of 7112,3246 By Matching Biggest Common Factor Method

Greatest Common Factor of 7112,3246 By Matching Biggest Common Factor Method

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1,2,3,6,541,1082,1623,3246

Greatest Common Factor

We found the factors 7112,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 7112,3246 is 2.

Lets's calculate LCM of 615,5424

3 615, 5424
205, 1808

∴ So the LCM of the given numbers is 3 x 205 x 1808 = 1111920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1111920

Therefore, the GCF of Fractions 7112/615,3246/5424 is 2/1111920

Least Common Multiple of 615,5424 with GCF Formula

Least Common Multiple of 615,5424 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 615,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,5424) = 3

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

GCF(615,5424) x common factors =3 x 1 = 3

LCM(615,5424) = ( 615 × 5424 ) / 3

LCM(615,5424) = 3335760 / 3

LCM(615,5424) = 1111920


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 7112/615, 3246/5424

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 7112/615, 3246/5424?

Answer: GCF of Numerators as per given numbers 7112/615, 3246/5424 is

GCF of Numerators i.e. for 7112,3246 is 2

LCM of denominators i.e. for 615,5424 is 1111920.

Thus, GCF of Fractions is 2/1111920.Finally, GCF of Fractions for 7112/615, 3246/5424 is 2/1111920.