Greatest Common Factor of 4319/869, 7791/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4319/869, 7791/789

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 4319/869,7791/789

Given fractions are 4319/869,7791/789

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 4319,7791

Greatest Common Factor of Numerators i.e. GCF of 4319,7791 is 7 .

LCM of Denominators means LCM of 869,789 as per the given fractions.

LCM of 869,789 is 685641 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4319,7791

GCF of Fractions 4319/869,7791/789 is 7/685641

7 4319, 7791
617, 1113

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4319,7791 By Matching Biggest Common Factor Method

Greatest Common Factor of 4319,7791 By Matching Biggest Common Factor Method

Factors of 4319

List of positive integer factors of 4319 that divides 4319 without a remainder.

1,7,617,4319

Factors of 7791

List of positive integer factors of 7791 that divides 7791 without a remainder.

1,3,7,21,49,53,147,159,371,1113,2597,7791

Greatest Common Factor

We found the factors 4319,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 4319,7791 is 7.

Lets's calculate LCM of 869,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 685641

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/685641

Therefore, the GCF of Fractions 4319/869,7791/789 is 7/685641

Least Common Multiple of 869,789 with GCF Formula

Least Common Multiple of 869,789 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 869,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,789) = 1

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

GCF(869,789) x common factors =1 x 1 = 1

LCM(869,789) = ( 869 × 789 ) / 1

LCM(869,789) = 685641 / 1

LCM(869,789) = 685641


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 4319/869, 7791/789

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 4319/869, 7791/789?

Answer: GCF of Numerators as per given numbers 4319/869, 7791/789 is

GCF of Numerators i.e. for 4319,7791 is 7

LCM of denominators i.e. for 869,789 is 685641.

Thus, GCF of Fractions is 7/685641.Finally, GCF of Fractions for 4319/869, 7791/789 is 7/685641.