Greatest Common Factor of 7620/790, 4678/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7620/790, 4678/924

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 7620/790,4678/924

Given fractions are 7620/790,4678/924

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 7620,4678

Greatest Common Factor of Numerators i.e. GCF of 7620,4678 is 2 .

LCM of Denominators means LCM of 790,924 as per the given fractions.

LCM of 790,924 is 364980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7620,4678

GCF of Fractions 7620/790,4678/924 is 2/364980

2 7620, 4678
3810, 2339

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7620,4678 By Matching Biggest Common Factor Method

Greatest Common Factor of 7620,4678 By Matching Biggest Common Factor Method

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1,2,2339,4678

Greatest Common Factor

We found the factors 7620,4678 . The biggest common factor number is the GCF number.
So the greatest common factor 7620,4678 is 2.

Lets's calculate LCM of 790,924

2 790, 924
395, 462

∴ So the LCM of the given numbers is 2 x 395 x 462 = 364980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364980

Therefore, the GCF of Fractions 7620/790,4678/924 is 2/364980

Least Common Multiple of 790,924 with GCF Formula

Least Common Multiple of 790,924 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 790,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,924) = 2

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

GCF(790,924) x common factors =2 x 1 = 2

LCM(790,924) = ( 790 × 924 ) / 2

LCM(790,924) = 729960 / 2

LCM(790,924) = 364980


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 7620/790, 4678/924

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 7620/790, 4678/924?

Answer: GCF of Numerators as per given numbers 7620/790, 4678/924 is

GCF of Numerators i.e. for 7620,4678 is 2

LCM of denominators i.e. for 790,924 is 364980.

Thus, GCF of Fractions is 2/364980.Finally, GCF of Fractions for 7620/790, 4678/924 is 2/364980.