Greatest Common Factor of 2723/774, 5101/5380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2723/774, 5101/5380

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 2723/774,5101/5380

Given fractions are 2723/774,5101/5380

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 2723,5101

Greatest Common Factor of Numerators i.e. GCF of 2723,5101 is 1 .

LCM of Denominators means LCM of 774,5380 as per the given fractions.

LCM of 774,5380 is 2082060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2723,5101

GCF of Fractions 2723/774,5101/5380 is 1/2082060

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

Greatest Common Factor of 2723,5101 By Matching Biggest Common Factor Method

Greatest Common Factor of 2723,5101 By Matching Biggest Common Factor Method

Factors of 2723

List of positive integer factors of 2723 that divides 2723 without a remainder.

1,7,389,2723

Factors of 5101

List of positive integer factors of 5101 that divides 5101 without a remainder.

1,5101

Greatest Common Factor

We found the factors 2723,5101 . The biggest common factor number is the GCF number.
So the greatest common factor 2723,5101 is 1.

Lets's calculate LCM of 774,5380

2 774, 5380
387, 2690

∴ So the LCM of the given numbers is 2 x 387 x 2690 = 2082060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2082060

Therefore, the GCF of Fractions 2723/774,5101/5380 is 1/2082060

Least Common Multiple of 774,5380 with GCF Formula

Least Common Multiple of 774,5380 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 774,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,5380) = 2

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

GCF(774,5380) x common factors =2 x 1 = 2

LCM(774,5380) = ( 774 × 5380 ) / 2

LCM(774,5380) = 4164120 / 2

LCM(774,5380) = 2082060


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 2723/774, 5101/5380

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 2723/774, 5101/5380?

Answer: GCF of Numerators as per given numbers 2723/774, 5101/5380 is

GCF of Numerators i.e. for 2723,5101 is 1

LCM of denominators i.e. for 774,5380 is 2082060.

Thus, GCF of Fractions is 1/2082060.Finally, GCF of Fractions for 2723/774, 5101/5380 is 1/2082060.