Greatest Common Factor of 44/91, 114/71, 422/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/91, 114/71, 422/327

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 44/91,114/71,422/327

Given fractions are 44/91,114/71,422/327

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 44,114,422

Greatest Common Factor of Numerators i.e. GCF of 44,114,422 is 2 .

LCM of Denominators means LCM of 91,71,327 as per the given fractions.

LCM of 91,71,327 is 2112747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,114,422

GCF of Fractions 44/91,114/71,422/327 is 2/2112747

2 44, 114, 422
22, 57, 211

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

Greatest Common Factor of 44,114,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,114,422 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 44,114,422 . The biggest common factor number is the GCF number.
So the greatest common factor 44,114,422 is 2.

Lets's calculate LCM of 91,71,327

Given numbers has no common factors except 1. So, there LCM is their product i.e 2112747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2112747

Therefore, the GCF of Fractions 44/91,114/71,422/327 is 2/2112747

Least Common Multiple of 91,71,327 with GCF Formula

Least Common Multiple of 91,71,327 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 91,71,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,71,327) = 1

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

GCF(91,71,327) x common factors =1 x 1 = 1

LCM(91,71,327) = ( 91 × 71 × 327 ) / 1

LCM(91,71,327) = 2112747 / 1

LCM(91,71,327) = 2112747


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 44/91, 114/71, 422/327

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 44/91, 114/71, 422/327?

Answer: GCF of Numerators as per given numbers 44/91, 114/71, 422/327 is

GCF of Numerators i.e. for 44,114,422 is 2

LCM of denominators i.e. for 91,71,327 is 2112747.

Thus, GCF of Fractions is 2/2112747.Finally, GCF of Fractions for 44/91, 114/71, 422/327 is 2/2112747.