Greatest Common Factor of 9260/944, 3782/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9260/944, 3782/484

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 9260/944,3782/484

Given fractions are 9260/944,3782/484

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 9260,3782

Greatest Common Factor of Numerators i.e. GCF of 9260,3782 is 2 .

LCM of Denominators means LCM of 944,484 as per the given fractions.

LCM of 944,484 is 114224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9260,3782

GCF of Fractions 9260/944,3782/484 is 2/114224

2 9260, 3782
4630, 1891

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

Greatest Common Factor of 9260,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 9260,3782 By Matching Biggest Common Factor Method

Factors of 9260

List of positive integer factors of 9260 that divides 9260 without a remainder.

1,2,4,5,10,20,463,926,1852,2315,4630,9260

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 9260,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 9260,3782 is 2.

Lets's calculate LCM of 944,484

2 944, 484
2 472, 242
236, 121

∴ So the LCM of the given numbers is 2 x 2 x 236 x 121 = 114224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114224

Therefore, the GCF of Fractions 9260/944,3782/484 is 2/114224

Least Common Multiple of 944,484 with GCF Formula

Least Common Multiple of 944,484 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 944,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,484) = 4

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

GCF(944,484) x common factors =4 x 1 = 4

LCM(944,484) = ( 944 × 484 ) / 4

LCM(944,484) = 456896 / 4

LCM(944,484) = 114224


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9260/944, 3782/484

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 9260/944, 3782/484?

Answer: GCF of Numerators as per given numbers 9260/944, 3782/484 is

GCF of Numerators i.e. for 9260,3782 is 2

LCM of denominators i.e. for 944,484 is 114224.

Thus, GCF of Fractions is 2/114224.Finally, GCF of Fractions for 9260/944, 3782/484 is 2/114224.