Greatest Common Factor of 531/93, 489/58, 305/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/93, 489/58, 305/477

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 531/93,489/58,305/477

Given fractions are 531/93,489/58,305/477

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 531,489,305

Greatest Common Factor of Numerators i.e. GCF of 531,489,305 is 1 .

LCM of Denominators means LCM of 93,58,477 as per the given fractions.

LCM of 93,58,477 is 857646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,489,305

GCF of Fractions 531/93,489/58,305/477 is 1/857646

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

Greatest Common Factor of 531,489,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,489,305 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 531,489,305 . The biggest common factor number is the GCF number.
So the greatest common factor 531,489,305 is 1.

Lets's calculate LCM of 93,58,477

3 93, 58, 477
31, 58, 159

∴ So the LCM of the given numbers is 3 x 31 x 58 x 159 = 857646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857646

Therefore, the GCF of Fractions 531/93,489/58,305/477 is 1/857646

Least Common Multiple of 93,58,477 with GCF Formula

Least Common Multiple of 93,58,477 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 93,58,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,58,477) = 1

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

GCF(93,58,477) x common factors =1 x 3 = 3

LCM(93,58,477) = ( 93 × 58 × 477 ) / 3

LCM(93,58,477) = 2572938 / 3

LCM(93,58,477) = 857646


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 531/93, 489/58, 305/477

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 531/93, 489/58, 305/477?

Answer: GCF of Numerators as per given numbers 531/93, 489/58, 305/477 is

GCF of Numerators i.e. for 531,489,305 is 1

LCM of denominators i.e. for 93,58,477 is 857646.

Thus, GCF of Fractions is 1/857646.Finally, GCF of Fractions for 531/93, 489/58, 305/477 is 1/857646.