Greatest Common Factor of 54/589, 249/661, 960/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/589, 249/661, 960/724

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 54/589,249/661,960/724

Given fractions are 54/589,249/661,960/724

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 54,249,960

Greatest Common Factor of Numerators i.e. GCF of 54,249,960 is 3 .

LCM of Denominators means LCM of 589,661,724 as per the given fractions.

LCM of 589,661,724 is 281874196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,249,960

GCF of Fractions 54/589,249/661,960/724 is 3/281874196

3 54, 249, 960
18, 83, 320

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 54,249,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,249,960 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 54,249,960 . The biggest common factor number is the GCF number.
So the greatest common factor 54,249,960 is 3.

Lets's calculate LCM of 589,661,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 281874196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/281874196

Therefore, the GCF of Fractions 54/589,249/661,960/724 is 3/281874196

Least Common Multiple of 589,661,724 with GCF Formula

Least Common Multiple of 589,661,724 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 589,661,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,661,724) = 1

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

GCF(589,661,724) x common factors =1 x 1 = 1

LCM(589,661,724) = ( 589 × 661 × 724 ) / 1

LCM(589,661,724) = 281874196 / 1

LCM(589,661,724) = 281874196


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 54/589, 249/661, 960/724

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 54/589, 249/661, 960/724?

Answer: GCF of Numerators as per given numbers 54/589, 249/661, 960/724 is

GCF of Numerators i.e. for 54,249,960 is 3

LCM of denominators i.e. for 589,661,724 is 281874196.

Thus, GCF of Fractions is 3/281874196.Finally, GCF of Fractions for 54/589, 249/661, 960/724 is 3/281874196.