Greatest Common Factor of 8919/795, 6762/4328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8919/795, 6762/4328

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 8919/795,6762/4328

Given fractions are 8919/795,6762/4328

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 8919,6762

Greatest Common Factor of Numerators i.e. GCF of 8919,6762 is 3 .

LCM of Denominators means LCM of 795,4328 as per the given fractions.

LCM of 795,4328 is 3440760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8919,6762

GCF of Fractions 8919/795,6762/4328 is 3/3440760

3 8919, 6762
2973, 2254

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

Greatest Common Factor of 8919,6762 By Matching Biggest Common Factor Method

Greatest Common Factor of 8919,6762 By Matching Biggest Common Factor Method

Factors of 8919

List of positive integer factors of 8919 that divides 8919 without a remainder.

1,3,9,991,2973,8919

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Greatest Common Factor

We found the factors 8919,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 8919,6762 is 3.

Lets's calculate LCM of 795,4328

Given numbers has no common factors except 1. So, there LCM is their product i.e 3440760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3440760

Therefore, the GCF of Fractions 8919/795,6762/4328 is 3/3440760

Least Common Multiple of 795,4328 with GCF Formula

Least Common Multiple of 795,4328 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 795,4328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,4328) = 1

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

GCF(795,4328) x common factors =1 x 1 = 1

LCM(795,4328) = ( 795 × 4328 ) / 1

LCM(795,4328) = 3440760 / 1

LCM(795,4328) = 3440760


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 8919/795, 6762/4328

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 8919/795, 6762/4328?

Answer: GCF of Numerators as per given numbers 8919/795, 6762/4328 is

GCF of Numerators i.e. for 8919,6762 is 3

LCM of denominators i.e. for 795,4328 is 3440760.

Thus, GCF of Fractions is 3/3440760.Finally, GCF of Fractions for 8919/795, 6762/4328 is 3/3440760.