Greatest Common Factor of 523/31, 857/28, 764/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/31, 857/28, 764/318

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 523/31,857/28,764/318

Given fractions are 523/31,857/28,764/318

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 523,857,764

Greatest Common Factor of Numerators i.e. GCF of 523,857,764 is 1 .

LCM of Denominators means LCM of 31,28,318 as per the given fractions.

LCM of 31,28,318 is 138012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,857,764

GCF of Fractions 523/31,857/28,764/318 is 1/138012

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

Greatest Common Factor of 523,857,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,857,764 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 523,857,764 . The biggest common factor number is the GCF number.
So the greatest common factor 523,857,764 is 1.

Lets's calculate LCM of 31,28,318

2 31, 28, 318
31, 14, 159

∴ So the LCM of the given numbers is 2 x 31 x 14 x 159 = 138012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138012

Therefore, the GCF of Fractions 523/31,857/28,764/318 is 1/138012

Least Common Multiple of 31,28,318 with GCF Formula

Least Common Multiple of 31,28,318 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 31,28,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,28,318) = 1

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

GCF(31,28,318) x common factors =1 x 2 = 2

LCM(31,28,318) = ( 31 × 28 × 318 ) / 2

LCM(31,28,318) = 276024 / 2

LCM(31,28,318) = 138012


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 523/31, 857/28, 764/318

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 523/31, 857/28, 764/318?

Answer: GCF of Numerators as per given numbers 523/31, 857/28, 764/318 is

GCF of Numerators i.e. for 523,857,764 is 1

LCM of denominators i.e. for 31,28,318 is 138012.

Thus, GCF of Fractions is 1/138012.Finally, GCF of Fractions for 523/31, 857/28, 764/318 is 1/138012.