Greatest Common Factor of 5109/224, 7472/2196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5109/224, 7472/2196

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 5109/224,7472/2196

Given fractions are 5109/224,7472/2196

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 5109,7472

Greatest Common Factor of Numerators i.e. GCF of 5109,7472 is 1 .

LCM of Denominators means LCM of 224,2196 as per the given fractions.

LCM of 224,2196 is 122976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5109,7472

GCF of Fractions 5109/224,7472/2196 is 1/122976

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5109,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 5109,7472 By Matching Biggest Common Factor Method

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 5109,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,7472 is 1.

Lets's calculate LCM of 224,2196

2 224, 2196
2 112, 1098
56, 549

∴ So the LCM of the given numbers is 2 x 2 x 56 x 549 = 122976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122976

Therefore, the GCF of Fractions 5109/224,7472/2196 is 1/122976

Least Common Multiple of 224,2196 with GCF Formula

Least Common Multiple of 224,2196 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 224,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,2196) = 4

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

GCF(224,2196) x common factors =4 x 1 = 4

LCM(224,2196) = ( 224 × 2196 ) / 4

LCM(224,2196) = 491904 / 4

LCM(224,2196) = 122976


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 5109/224, 7472/2196

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 5109/224, 7472/2196?

Answer: GCF of Numerators as per given numbers 5109/224, 7472/2196 is

GCF of Numerators i.e. for 5109,7472 is 1

LCM of denominators i.e. for 224,2196 is 122976.

Thus, GCF of Fractions is 1/122976.Finally, GCF of Fractions for 5109/224, 7472/2196 is 1/122976.