Greatest Common Factor of 543/772, 288/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/772, 288/761

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 543/772,288/761

Given fractions are 543/772,288/761

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 543,288

Greatest Common Factor of Numerators i.e. GCF of 543,288 is 3 .

LCM of Denominators means LCM of 772,761 as per the given fractions.

LCM of 772,761 is 587492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,288

GCF of Fractions 543/772,288/761 is 3/587492

3 543, 288
181, 96

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

Greatest Common Factor of 543,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,288 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 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 543,288 . The biggest common factor number is the GCF number.
So the greatest common factor 543,288 is 3.

Lets's calculate LCM of 772,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 587492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/587492

Therefore, the GCF of Fractions 543/772,288/761 is 3/587492

Least Common Multiple of 772,761 with GCF Formula

Least Common Multiple of 772,761 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 772,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,761) = 1

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

GCF(772,761) x common factors =1 x 1 = 1

LCM(772,761) = ( 772 × 761 ) / 1

LCM(772,761) = 587492 / 1

LCM(772,761) = 587492


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 543/772, 288/761

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 543/772, 288/761?

Answer: GCF of Numerators as per given numbers 543/772, 288/761 is

GCF of Numerators i.e. for 543,288 is 3

LCM of denominators i.e. for 772,761 is 587492.

Thus, GCF of Fractions is 3/587492.Finally, GCF of Fractions for 543/772, 288/761 is 3/587492.