Greatest Common Factor of 9444/922, 5676/2352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9444/922, 5676/2352

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 9444/922,5676/2352

Given fractions are 9444/922,5676/2352

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 9444,5676

Greatest Common Factor of Numerators i.e. GCF of 9444,5676 is 12 .

LCM of Denominators means LCM of 922,2352 as per the given fractions.

LCM of 922,2352 is 1084272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9444,5676

GCF of Fractions 9444/922,5676/2352 is 12/1084272

2 9444, 5676
2 4722, 2838
3 2361, 1419
787, 473

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 9444,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 9444,5676 By Matching Biggest Common Factor Method

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Greatest Common Factor

We found the factors 9444,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 9444,5676 is 12.

Lets's calculate LCM of 922,2352

2 922, 2352
461, 1176

∴ So the LCM of the given numbers is 2 x 461 x 1176 = 1084272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1084272

Therefore, the GCF of Fractions 9444/922,5676/2352 is 12/1084272

Least Common Multiple of 922,2352 with GCF Formula

Least Common Multiple of 922,2352 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 922,2352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,2352) = 2

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

GCF(922,2352) x common factors =2 x 1 = 2

LCM(922,2352) = ( 922 × 2352 ) / 2

LCM(922,2352) = 2168544 / 2

LCM(922,2352) = 1084272


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 9444/922, 5676/2352

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 9444/922, 5676/2352?

Answer: GCF of Numerators as per given numbers 9444/922, 5676/2352 is

GCF of Numerators i.e. for 9444,5676 is 12

LCM of denominators i.e. for 922,2352 is 1084272.

Thus, GCF of Fractions is 12/1084272.Finally, GCF of Fractions for 9444/922, 5676/2352 is 12/1084272.