Greatest Common Factor of 7839/752, 7848/4641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7839/752, 7848/4641

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 7839/752,7848/4641

Given fractions are 7839/752,7848/4641

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 7839,7848

Greatest Common Factor of Numerators i.e. GCF of 7839,7848 is 9 .

LCM of Denominators means LCM of 752,4641 as per the given fractions.

LCM of 752,4641 is 3490032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7839,7848

GCF of Fractions 7839/752,7848/4641 is 9/3490032

3 7839, 7848
3 2613, 2616
871, 872

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7839,7848 By Matching Biggest Common Factor Method

Greatest Common Factor of 7839,7848 By Matching Biggest Common Factor Method

Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1,3,9,13,39,67,117,201,603,871,2613,7839

Factors of 7848

List of positive integer factors of 7848 that divides 7848 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848

Greatest Common Factor

We found the factors 7839,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 7839,7848 is 9.

Lets's calculate LCM of 752,4641

Given numbers has no common factors except 1. So, there LCM is their product i.e 3490032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3490032

Therefore, the GCF of Fractions 7839/752,7848/4641 is 9/3490032

Least Common Multiple of 752,4641 with GCF Formula

Least Common Multiple of 752,4641 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 752,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,4641) = 1

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

GCF(752,4641) x common factors =1 x 1 = 1

LCM(752,4641) = ( 752 × 4641 ) / 1

LCM(752,4641) = 3490032 / 1

LCM(752,4641) = 3490032


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 7839/752, 7848/4641

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 7839/752, 7848/4641?

Answer: GCF of Numerators as per given numbers 7839/752, 7848/4641 is

GCF of Numerators i.e. for 7839,7848 is 9

LCM of denominators i.e. for 752,4641 is 3490032.

Thus, GCF of Fractions is 9/3490032.Finally, GCF of Fractions for 7839/752, 7848/4641 is 9/3490032.