Greatest Common Factor of 5377/819, 7713/4731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5377/819, 7713/4731

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 5377/819,7713/4731

Given fractions are 5377/819,7713/4731

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 5377,7713

Greatest Common Factor of Numerators i.e. GCF of 5377,7713 is 1 .

LCM of Denominators means LCM of 819,4731 as per the given fractions.

LCM of 819,4731 is 1291563 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5377,7713

GCF of Fractions 5377/819,7713/4731 is 1/1291563

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

Greatest Common Factor of 5377,7713 By Matching Biggest Common Factor Method

Greatest Common Factor of 5377,7713 By Matching Biggest Common Factor Method

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1,3,9,857,2571,7713

Greatest Common Factor

We found the factors 5377,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 5377,7713 is 1.

Lets's calculate LCM of 819,4731

3 819, 4731
273, 1577

∴ So the LCM of the given numbers is 3 x 273 x 1577 = 1291563

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1291563

Therefore, the GCF of Fractions 5377/819,7713/4731 is 1/1291563

Least Common Multiple of 819,4731 with GCF Formula

Least Common Multiple of 819,4731 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 819,4731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,4731) = 3

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

GCF(819,4731) x common factors =3 x 1 = 3

LCM(819,4731) = ( 819 × 4731 ) / 3

LCM(819,4731) = 3874689 / 3

LCM(819,4731) = 1291563


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 5377/819, 7713/4731

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 5377/819, 7713/4731?

Answer: GCF of Numerators as per given numbers 5377/819, 7713/4731 is

GCF of Numerators i.e. for 5377,7713 is 1

LCM of denominators i.e. for 819,4731 is 1291563.

Thus, GCF of Fractions is 1/1291563.Finally, GCF of Fractions for 5377/819, 7713/4731 is 1/1291563.