Greatest Common Factor of 2979/43, 7724/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2979/43, 7724/308

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 2979/43,7724/308

Given fractions are 2979/43,7724/308

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 2979,7724

Greatest Common Factor of Numerators i.e. GCF of 2979,7724 is 1 .

LCM of Denominators means LCM of 43,308 as per the given fractions.

LCM of 43,308 is 13244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2979,7724

GCF of Fractions 2979/43,7724/308 is 1/13244

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

Greatest Common Factor of 2979,7724 By Matching Biggest Common Factor Method

Greatest Common Factor of 2979,7724 By Matching Biggest Common Factor Method

Factors of 2979

List of positive integer factors of 2979 that divides 2979 without a remainder.

1,3,9,331,993,2979

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors 2979,7724 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,7724 is 1.

Lets's calculate LCM of 43,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 13244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13244

Therefore, the GCF of Fractions 2979/43,7724/308 is 1/13244

Least Common Multiple of 43,308 with GCF Formula

Least Common Multiple of 43,308 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 43,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,308) = 1

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

GCF(43,308) x common factors =1 x 1 = 1

LCM(43,308) = ( 43 × 308 ) / 1

LCM(43,308) = 13244 / 1

LCM(43,308) = 13244


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 2979/43, 7724/308

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 2979/43, 7724/308?

Answer: GCF of Numerators as per given numbers 2979/43, 7724/308 is

GCF of Numerators i.e. for 2979,7724 is 1

LCM of denominators i.e. for 43,308 is 13244.

Thus, GCF of Fractions is 1/13244.Finally, GCF of Fractions for 2979/43, 7724/308 is 1/13244.