Greatest Common Factor of 543/743, 3540/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/743, 3540/754

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 543/743,3540/754

Given fractions are 543/743,3540/754

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 543,3540

Greatest Common Factor of Numerators i.e. GCF of 543,3540 is 3 .

LCM of Denominators means LCM of 743,754 as per the given fractions.

LCM of 743,754 is 560222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,3540

GCF of Fractions 543/743,3540/754 is 3/560222

3 543, 3540
181, 1180

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

Greatest Common Factor of 543,3540 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,3540 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 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors 543,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 543,3540 is 3.

Lets's calculate LCM of 743,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 560222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/560222

Therefore, the GCF of Fractions 543/743,3540/754 is 3/560222

Least Common Multiple of 743,754 with GCF Formula

Least Common Multiple of 743,754 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 743,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,754) = 1

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

GCF(743,754) x common factors =1 x 1 = 1

LCM(743,754) = ( 743 × 754 ) / 1

LCM(743,754) = 560222 / 1

LCM(743,754) = 560222


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 543/743, 3540/754

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 543/743, 3540/754?

Answer: GCF of Numerators as per given numbers 543/743, 3540/754 is

GCF of Numerators i.e. for 543,3540 is 3

LCM of denominators i.e. for 743,754 is 560222.

Thus, GCF of Fractions is 3/560222.Finally, GCF of Fractions for 543/743, 3540/754 is 3/560222.