Greatest Common Factor of 557/224, 8211/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 557/224, 8211/484

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 557/224,8211/484

Given fractions are 557/224,8211/484

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 557,8211

Greatest Common Factor of Numerators i.e. GCF of 557,8211 is 1 .

LCM of Denominators means LCM of 224,484 as per the given fractions.

LCM of 224,484 is 27104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 557,8211

GCF of Fractions 557/224,8211/484 is 1/27104

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

Greatest Common Factor of 557,8211 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,8211 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Greatest Common Factor

We found the factors 557,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 557,8211 is 1.

Lets's calculate LCM of 224,484

2 224, 484
2 112, 242
56, 121

∴ So the LCM of the given numbers is 2 x 2 x 56 x 121 = 27104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27104

Therefore, the GCF of Fractions 557/224,8211/484 is 1/27104

Least Common Multiple of 224,484 with GCF Formula

Least Common Multiple of 224,484 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 224,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,484) = 4

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

GCF(224,484) x common factors =4 x 1 = 4

LCM(224,484) = ( 224 × 484 ) / 4

LCM(224,484) = 108416 / 4

LCM(224,484) = 27104


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 557/224, 8211/484

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 557/224, 8211/484?

Answer: GCF of Numerators as per given numbers 557/224, 8211/484 is

GCF of Numerators i.e. for 557,8211 is 1

LCM of denominators i.e. for 224,484 is 27104.

Thus, GCF of Fractions is 1/27104.Finally, GCF of Fractions for 557/224, 8211/484 is 1/27104.