Greatest Common Factor of 8777/744, 5754/2363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8777/744, 5754/2363

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 8777/744,5754/2363

Given fractions are 8777/744,5754/2363

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 8777,5754

Greatest Common Factor of Numerators i.e. GCF of 8777,5754 is 1 .

LCM of Denominators means LCM of 744,2363 as per the given fractions.

LCM of 744,2363 is 1758072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8777,5754

GCF of Fractions 8777/744,5754/2363 is 1/1758072

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

Greatest Common Factor of 8777,5754 By Matching Biggest Common Factor Method

Greatest Common Factor of 8777,5754 By Matching Biggest Common Factor Method

Factors of 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1,67,131,8777

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Greatest Common Factor

We found the factors 8777,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 8777,5754 is 1.

Lets's calculate LCM of 744,2363

Given numbers has no common factors except 1. So, there LCM is their product i.e 1758072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1758072

Therefore, the GCF of Fractions 8777/744,5754/2363 is 1/1758072

Least Common Multiple of 744,2363 with GCF Formula

Least Common Multiple of 744,2363 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 744,2363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,2363) = 1

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

GCF(744,2363) x common factors =1 x 1 = 1

LCM(744,2363) = ( 744 × 2363 ) / 1

LCM(744,2363) = 1758072 / 1

LCM(744,2363) = 1758072


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 8777/744, 5754/2363

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 8777/744, 5754/2363?

Answer: GCF of Numerators as per given numbers 8777/744, 5754/2363 is

GCF of Numerators i.e. for 8777,5754 is 1

LCM of denominators i.e. for 744,2363 is 1758072.

Thus, GCF of Fractions is 1/1758072.Finally, GCF of Fractions for 8777/744, 5754/2363 is 1/1758072.