Greatest Common Factor of 9364/759, 8157/2334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9364/759, 8157/2334

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 9364/759,8157/2334

Given fractions are 9364/759,8157/2334

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 9364,8157

Greatest Common Factor of Numerators i.e. GCF of 9364,8157 is 1 .

LCM of Denominators means LCM of 759,2334 as per the given fractions.

LCM of 759,2334 is 590502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9364,8157

GCF of Fractions 9364/759,8157/2334 is 1/590502

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9364,8157 By Matching Biggest Common Factor Method

Greatest Common Factor of 9364,8157 By Matching Biggest Common Factor Method

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1,2,4,2341,4682,9364

Factors of 8157

List of positive integer factors of 8157 that divides 8157 without a remainder.

1,3,2719,8157

Greatest Common Factor

We found the factors 9364,8157 . The biggest common factor number is the GCF number.
So the greatest common factor 9364,8157 is 1.

Lets's calculate LCM of 759,2334

3 759, 2334
253, 778

∴ So the LCM of the given numbers is 3 x 253 x 778 = 590502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590502

Therefore, the GCF of Fractions 9364/759,8157/2334 is 1/590502

Least Common Multiple of 759,2334 with GCF Formula

Least Common Multiple of 759,2334 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 759,2334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,2334) = 3

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

GCF(759,2334) x common factors =3 x 1 = 3

LCM(759,2334) = ( 759 × 2334 ) / 3

LCM(759,2334) = 1771506 / 3

LCM(759,2334) = 590502


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 9364/759, 8157/2334

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 9364/759, 8157/2334?

Answer: GCF of Numerators as per given numbers 9364/759, 8157/2334 is

GCF of Numerators i.e. for 9364,8157 is 1

LCM of denominators i.e. for 759,2334 is 590502.

Thus, GCF of Fractions is 1/590502.Finally, GCF of Fractions for 9364/759, 8157/2334 is 1/590502.