Greatest Common Factor of 9094/824, 7764/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9094/824, 7764/122

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 9094/824,7764/122

Given fractions are 9094/824,7764/122

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 9094,7764

Greatest Common Factor of Numerators i.e. GCF of 9094,7764 is 2 .

LCM of Denominators means LCM of 824,122 as per the given fractions.

LCM of 824,122 is 50264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9094,7764

GCF of Fractions 9094/824,7764/122 is 2/50264

2 9094, 7764
4547, 3882

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9094,7764 By Matching Biggest Common Factor Method

Greatest Common Factor of 9094,7764 By Matching Biggest Common Factor Method

Factors of 9094

List of positive integer factors of 9094 that divides 9094 without a remainder.

1,2,4547,9094

Factors of 7764

List of positive integer factors of 7764 that divides 7764 without a remainder.

1,2,3,4,6,12,647,1294,1941,2588,3882,7764

Greatest Common Factor

We found the factors 9094,7764 . The biggest common factor number is the GCF number.
So the greatest common factor 9094,7764 is 2.

Lets's calculate LCM of 824,122

2 824, 122
412, 61

∴ So the LCM of the given numbers is 2 x 412 x 61 = 50264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50264

Therefore, the GCF of Fractions 9094/824,7764/122 is 2/50264

Least Common Multiple of 824,122 with GCF Formula

Least Common Multiple of 824,122 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 824,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,122) = 2

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

GCF(824,122) x common factors =2 x 1 = 2

LCM(824,122) = ( 824 × 122 ) / 2

LCM(824,122) = 100528 / 2

LCM(824,122) = 50264


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 9094/824, 7764/122

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 9094/824, 7764/122?

Answer: GCF of Numerators as per given numbers 9094/824, 7764/122 is

GCF of Numerators i.e. for 9094,7764 is 2

LCM of denominators i.e. for 824,122 is 50264.

Thus, GCF of Fractions is 2/50264.Finally, GCF of Fractions for 9094/824, 7764/122 is 2/50264.