Greatest Common Factor of 7788/676, 5246/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7788/676, 5246/501

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 7788/676,5246/501

Given fractions are 7788/676,5246/501

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 7788,5246

Greatest Common Factor of Numerators i.e. GCF of 7788,5246 is 2 .

LCM of Denominators means LCM of 676,501 as per the given fractions.

LCM of 676,501 is 338676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7788,5246

GCF of Fractions 7788/676,5246/501 is 2/338676

2 7788, 5246
3894, 2623

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

Greatest Common Factor of 7788,5246 By Matching Biggest Common Factor Method

Greatest Common Factor of 7788,5246 By Matching Biggest Common Factor Method

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1,2,43,61,86,122,2623,5246

Greatest Common Factor

We found the factors 7788,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 7788,5246 is 2.

Lets's calculate LCM of 676,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 338676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/338676

Therefore, the GCF of Fractions 7788/676,5246/501 is 2/338676

Least Common Multiple of 676,501 with GCF Formula

Least Common Multiple of 676,501 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 676,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,501) = 1

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

GCF(676,501) x common factors =1 x 1 = 1

LCM(676,501) = ( 676 × 501 ) / 1

LCM(676,501) = 338676 / 1

LCM(676,501) = 338676


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 7788/676, 5246/501

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 7788/676, 5246/501?

Answer: GCF of Numerators as per given numbers 7788/676, 5246/501 is

GCF of Numerators i.e. for 7788,5246 is 2

LCM of denominators i.e. for 676,501 is 338676.

Thus, GCF of Fractions is 2/338676.Finally, GCF of Fractions for 7788/676, 5246/501 is 2/338676.