Greatest Common Factor of 2910/518, 7239/4848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2910/518, 7239/4848

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 2910/518,7239/4848

Given fractions are 2910/518,7239/4848

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 2910,7239

Greatest Common Factor of Numerators i.e. GCF of 2910,7239 is 3 .

LCM of Denominators means LCM of 518,4848 as per the given fractions.

LCM of 518,4848 is 1255632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2910,7239

GCF of Fractions 2910/518,7239/4848 is 3/1255632

3 2910, 7239
970, 2413

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2910,7239 By Matching Biggest Common Factor Method

Greatest Common Factor of 2910,7239 By Matching Biggest Common Factor Method

Factors of 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Factors of 7239

List of positive integer factors of 7239 that divides 7239 without a remainder.

1,3,19,57,127,381,2413,7239

Greatest Common Factor

We found the factors 2910,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 2910,7239 is 3.

Lets's calculate LCM of 518,4848

2 518, 4848
259, 2424

∴ So the LCM of the given numbers is 2 x 259 x 2424 = 1255632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1255632

Therefore, the GCF of Fractions 2910/518,7239/4848 is 3/1255632

Least Common Multiple of 518,4848 with GCF Formula

Least Common Multiple of 518,4848 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 518,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,4848) = 2

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

GCF(518,4848) x common factors =2 x 1 = 2

LCM(518,4848) = ( 518 × 4848 ) / 2

LCM(518,4848) = 2511264 / 2

LCM(518,4848) = 1255632


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 2910/518, 7239/4848

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 2910/518, 7239/4848?

Answer: GCF of Numerators as per given numbers 2910/518, 7239/4848 is

GCF of Numerators i.e. for 2910,7239 is 3

LCM of denominators i.e. for 518,4848 is 1255632.

Thus, GCF of Fractions is 3/1255632.Finally, GCF of Fractions for 2910/518, 7239/4848 is 3/1255632.