Greatest Common Factor of 939/546, 8772/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 939/546, 8772/442

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 939/546,8772/442

Given fractions are 939/546,8772/442

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 939,8772

Greatest Common Factor of Numerators i.e. GCF of 939,8772 is 3 .

LCM of Denominators means LCM of 546,442 as per the given fractions.

LCM of 546,442 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 939,8772

GCF of Fractions 939/546,8772/442 is 3/9282

3 939, 8772
313, 2924

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

Greatest Common Factor of 939,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 939,8772 By Matching Biggest Common Factor Method

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 939,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 939,8772 is 3.

Lets's calculate LCM of 546,442

2 546, 442
13 273, 221
21, 17

∴ So the LCM of the given numbers is 2 x 13 x 21 x 17 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9282

Therefore, the GCF of Fractions 939/546,8772/442 is 3/9282

Least Common Multiple of 546,442 with GCF Formula

Least Common Multiple of 546,442 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 546,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,442) = 26

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

GCF(546,442) x common factors =26 x 1 = 26

LCM(546,442) = ( 546 × 442 ) / 26

LCM(546,442) = 241332 / 26

LCM(546,442) = 9282


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 939/546, 8772/442

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 939/546, 8772/442?

Answer: GCF of Numerators as per given numbers 939/546, 8772/442 is

GCF of Numerators i.e. for 939,8772 is 3

LCM of denominators i.e. for 546,442 is 9282.

Thus, GCF of Fractions is 3/9282.Finally, GCF of Fractions for 939/546, 8772/442 is 3/9282.