Greatest Common Factor of 7930/634, 4800/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7930/634, 4800/959

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 7930/634,4800/959

Given fractions are 7930/634,4800/959

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 7930,4800

Greatest Common Factor of Numerators i.e. GCF of 7930,4800 is 10 .

LCM of Denominators means LCM of 634,959 as per the given fractions.

LCM of 634,959 is 608006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7930,4800

GCF of Fractions 7930/634,4800/959 is 10/608006

2 7930, 4800
5 3965, 2400
793, 480

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7930,4800 By Matching Biggest Common Factor Method

Greatest Common Factor of 7930,4800 By Matching Biggest Common Factor Method

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800

Greatest Common Factor

We found the factors 7930,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,4800 is 10.

Lets's calculate LCM of 634,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 608006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/608006

Therefore, the GCF of Fractions 7930/634,4800/959 is 10/608006

Least Common Multiple of 634,959 with GCF Formula

Least Common Multiple of 634,959 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 634,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,959) = 1

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

GCF(634,959) x common factors =1 x 1 = 1

LCM(634,959) = ( 634 × 959 ) / 1

LCM(634,959) = 608006 / 1

LCM(634,959) = 608006


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 7930/634, 4800/959

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 7930/634, 4800/959?

Answer: GCF of Numerators as per given numbers 7930/634, 4800/959 is

GCF of Numerators i.e. for 7930,4800 is 10

LCM of denominators i.e. for 634,959 is 608006.

Thus, GCF of Fractions is 10/608006.Finally, GCF of Fractions for 7930/634, 4800/959 is 10/608006.