Greatest Common Factor of 50/96, 52/94, 956/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/96, 52/94, 956/533

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 50/96,52/94,956/533

Given fractions are 50/96,52/94,956/533

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 50,52,956

Greatest Common Factor of Numerators i.e. GCF of 50,52,956 is 2 .

LCM of Denominators means LCM of 96,94,533 as per the given fractions.

LCM of 96,94,533 is 2404896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,52,956

GCF of Fractions 50/96,52/94,956/533 is 2/2404896

2 50, 52, 956
25, 26, 478

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

Greatest Common Factor of 50,52,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,52,956 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 50,52,956 . The biggest common factor number is the GCF number.
So the greatest common factor 50,52,956 is 2.

Lets's calculate LCM of 96,94,533

2 96, 94, 533
48, 47, 533

∴ So the LCM of the given numbers is 2 x 48 x 47 x 533 = 2404896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2404896

Therefore, the GCF of Fractions 50/96,52/94,956/533 is 2/2404896

Least Common Multiple of 96,94,533 with GCF Formula

Least Common Multiple of 96,94,533 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 96,94,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,94,533) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,94,533) x common factors =1 x 2 = 2

LCM(96,94,533) = ( 96 × 94 × 533 ) / 2

LCM(96,94,533) = 4809792 / 2

LCM(96,94,533) = 2404896


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 50/96, 52/94, 956/533

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 50/96, 52/94, 956/533?

Answer: GCF of Numerators as per given numbers 50/96, 52/94, 956/533 is

GCF of Numerators i.e. for 50,52,956 is 2

LCM of denominators i.e. for 96,94,533 is 2404896.

Thus, GCF of Fractions is 2/2404896.Finally, GCF of Fractions for 50/96, 52/94, 956/533 is 2/2404896.