Greatest Common Factor of 983/31, 493/57, 437/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 983/31, 493/57, 437/138

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 983/31,493/57,437/138

Given fractions are 983/31,493/57,437/138

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 983,493,437

Greatest Common Factor of Numerators i.e. GCF of 983,493,437 is 1 .

LCM of Denominators means LCM of 31,57,138 as per the given fractions.

LCM of 31,57,138 is 81282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 983,493,437

GCF of Fractions 983/31,493/57,437/138 is 1/81282

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 983,493,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,493,437 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 983,493,437 . The biggest common factor number is the GCF number.
So the greatest common factor 983,493,437 is 1.

Lets's calculate LCM of 31,57,138

3 31, 57, 138
31, 19, 46

∴ So the LCM of the given numbers is 3 x 31 x 19 x 46 = 81282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81282

Therefore, the GCF of Fractions 983/31,493/57,437/138 is 1/81282

Least Common Multiple of 31,57,138 with GCF Formula

Least Common Multiple of 31,57,138 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 31,57,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,57,138) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,57,138) x common factors =1 x 3 = 3

LCM(31,57,138) = ( 31 × 57 × 138 ) / 3

LCM(31,57,138) = 243846 / 3

LCM(31,57,138) = 81282


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 983/31, 493/57, 437/138

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 983/31, 493/57, 437/138?

Answer: GCF of Numerators as per given numbers 983/31, 493/57, 437/138 is

GCF of Numerators i.e. for 983,493,437 is 1

LCM of denominators i.e. for 31,57,138 is 81282.

Thus, GCF of Fractions is 1/81282.Finally, GCF of Fractions for 983/31, 493/57, 437/138 is 1/81282.