Greatest Common Factor of 5540/424, 7657/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5540/424, 7657/484

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 5540/424,7657/484

Given fractions are 5540/424,7657/484

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 5540,7657

Greatest Common Factor of Numerators i.e. GCF of 5540,7657 is 1 .

LCM of Denominators means LCM of 424,484 as per the given fractions.

LCM of 424,484 is 51304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5540,7657

GCF of Fractions 5540/424,7657/484 is 1/51304

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

Greatest Common Factor of 5540,7657 By Matching Biggest Common Factor Method

Greatest Common Factor of 5540,7657 By Matching Biggest Common Factor Method

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1,2,4,5,10,20,277,554,1108,1385,2770,5540

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Greatest Common Factor

We found the factors 5540,7657 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,7657 is 1.

Lets's calculate LCM of 424,484

2 424, 484
2 212, 242
106, 121

∴ So the LCM of the given numbers is 2 x 2 x 106 x 121 = 51304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51304

Therefore, the GCF of Fractions 5540/424,7657/484 is 1/51304

Least Common Multiple of 424,484 with GCF Formula

Least Common Multiple of 424,484 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 424,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,484) = 4

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

GCF(424,484) x common factors =4 x 1 = 4

LCM(424,484) = ( 424 × 484 ) / 4

LCM(424,484) = 205216 / 4

LCM(424,484) = 51304


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 5540/424, 7657/484

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 5540/424, 7657/484?

Answer: GCF of Numerators as per given numbers 5540/424, 7657/484 is

GCF of Numerators i.e. for 5540,7657 is 1

LCM of denominators i.e. for 424,484 is 51304.

Thus, GCF of Fractions is 1/51304.Finally, GCF of Fractions for 5540/424, 7657/484 is 1/51304.