Greatest Common Factor of 7204/336, 5314/2716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7204/336, 5314/2716

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 7204/336,5314/2716

Given fractions are 7204/336,5314/2716

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 7204,5314

Greatest Common Factor of Numerators i.e. GCF of 7204,5314 is 2 .

LCM of Denominators means LCM of 336,2716 as per the given fractions.

LCM of 336,2716 is 32592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7204,5314

GCF of Fractions 7204/336,5314/2716 is 2/32592

2 7204, 5314
3602, 2657

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

Greatest Common Factor of 7204,5314 By Matching Biggest Common Factor Method

Greatest Common Factor of 7204,5314 By Matching Biggest Common Factor Method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Greatest Common Factor

We found the factors 7204,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 7204,5314 is 2.

Lets's calculate LCM of 336,2716

2 336, 2716
2 168, 1358
7 84, 679
12, 97

∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 97 = 32592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32592

Therefore, the GCF of Fractions 7204/336,5314/2716 is 2/32592

Least Common Multiple of 336,2716 with GCF Formula

Least Common Multiple of 336,2716 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 336,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,2716) = 28

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

GCF(336,2716) x common factors =28 x 1 = 28

LCM(336,2716) = ( 336 × 2716 ) / 28

LCM(336,2716) = 912576 / 28

LCM(336,2716) = 32592


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 7204/336, 5314/2716

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 7204/336, 5314/2716?

Answer: GCF of Numerators as per given numbers 7204/336, 5314/2716 is

GCF of Numerators i.e. for 7204,5314 is 2

LCM of denominators i.e. for 336,2716 is 32592.

Thus, GCF of Fractions is 2/32592.Finally, GCF of Fractions for 7204/336, 5314/2716 is 2/32592.