Greatest Common Factor of 543/174, 604/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/174, 604/861

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 543/174,604/861

Given fractions are 543/174,604/861

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 543,604

Greatest Common Factor of Numerators i.e. GCF of 543,604 is 1 .

LCM of Denominators means LCM of 174,861 as per the given fractions.

LCM of 174,861 is 49938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,604

GCF of Fractions 543/174,604/861 is 1/49938

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

Greatest Common Factor of 543,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,604 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 543,604 . The biggest common factor number is the GCF number.
So the greatest common factor 543,604 is 1.

Lets's calculate LCM of 174,861

3 174, 861
58, 287

∴ So the LCM of the given numbers is 3 x 58 x 287 = 49938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49938

Therefore, the GCF of Fractions 543/174,604/861 is 1/49938

Least Common Multiple of 174,861 with GCF Formula

Least Common Multiple of 174,861 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 174,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,861) = 3

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

GCF(174,861) x common factors =3 x 1 = 3

LCM(174,861) = ( 174 × 861 ) / 3

LCM(174,861) = 149814 / 3

LCM(174,861) = 49938


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 543/174, 604/861

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 543/174, 604/861?

Answer: GCF of Numerators as per given numbers 543/174, 604/861 is

GCF of Numerators i.e. for 543,604 is 1

LCM of denominators i.e. for 174,861 is 49938.

Thus, GCF of Fractions is 1/49938.Finally, GCF of Fractions for 543/174, 604/861 is 1/49938.