Greatest Common Factor of 2989/778, 4699/6076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2989/778, 4699/6076

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 2989/778,4699/6076

Given fractions are 2989/778,4699/6076

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 2989,4699

Greatest Common Factor of Numerators i.e. GCF of 2989,4699 is 1 .

LCM of Denominators means LCM of 778,6076 as per the given fractions.

LCM of 778,6076 is 2363564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2989,4699

GCF of Fractions 2989/778,4699/6076 is 1/2363564

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

Greatest Common Factor of 2989,4699 By Matching Biggest Common Factor Method

Greatest Common Factor of 2989,4699 By Matching Biggest Common Factor Method

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1,7,49,61,427,2989

Factors of 4699

List of positive integer factors of 4699 that divides 4699 without a remainder.

1,37,127,4699

Greatest Common Factor

We found the factors 2989,4699 . The biggest common factor number is the GCF number.
So the greatest common factor 2989,4699 is 1.

Lets's calculate LCM of 778,6076

2 778, 6076
389, 3038

∴ So the LCM of the given numbers is 2 x 389 x 3038 = 2363564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2363564

Therefore, the GCF of Fractions 2989/778,4699/6076 is 1/2363564

Least Common Multiple of 778,6076 with GCF Formula

Least Common Multiple of 778,6076 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 778,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,6076) = 2

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

GCF(778,6076) x common factors =2 x 1 = 2

LCM(778,6076) = ( 778 × 6076 ) / 2

LCM(778,6076) = 4727128 / 2

LCM(778,6076) = 2363564


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 2989/778, 4699/6076

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 2989/778, 4699/6076?

Answer: GCF of Numerators as per given numbers 2989/778, 4699/6076 is

GCF of Numerators i.e. for 2989,4699 is 1

LCM of denominators i.e. for 778,6076 is 2363564.

Thus, GCF of Fractions is 1/2363564.Finally, GCF of Fractions for 2989/778, 4699/6076 is 1/2363564.