Greatest Common Factor of 2654/816, 6631/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2654/816, 6631/520

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 2654/816,6631/520

Given fractions are 2654/816,6631/520

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 2654,6631

Greatest Common Factor of Numerators i.e. GCF of 2654,6631 is 1 .

LCM of Denominators means LCM of 816,520 as per the given fractions.

LCM of 816,520 is 53040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2654,6631

GCF of Fractions 2654/816,6631/520 is 1/53040

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

Greatest Common Factor of 2654,6631 By Matching Biggest Common Factor Method

Greatest Common Factor of 2654,6631 By Matching Biggest Common Factor Method

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1,2,1327,2654

Factors of 6631

List of positive integer factors of 6631 that divides 6631 without a remainder.

1,19,349,6631

Greatest Common Factor

We found the factors 2654,6631 . The biggest common factor number is the GCF number.
So the greatest common factor 2654,6631 is 1.

Lets's calculate LCM of 816,520

2 816, 520
2 408, 260
2 204, 130
102, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 102 x 65 = 53040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53040

Therefore, the GCF of Fractions 2654/816,6631/520 is 1/53040

Least Common Multiple of 816,520 with GCF Formula

Least Common Multiple of 816,520 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 816,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,520) = 8

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

GCF(816,520) x common factors =8 x 1 = 8

LCM(816,520) = ( 816 × 520 ) / 8

LCM(816,520) = 424320 / 8

LCM(816,520) = 53040


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 2654/816, 6631/520

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 2654/816, 6631/520?

Answer: GCF of Numerators as per given numbers 2654/816, 6631/520 is

GCF of Numerators i.e. for 2654,6631 is 1

LCM of denominators i.e. for 816,520 is 53040.

Thus, GCF of Fractions is 1/53040.Finally, GCF of Fractions for 2654/816, 6631/520 is 1/53040.