Greatest Common Factor of 540/6906, 704/1527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 540/6906, 704/1527

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 540/6906,704/1527

Given fractions are 540/6906,704/1527

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 540,704

Greatest Common Factor of Numerators i.e. GCF of 540,704 is 4 .

LCM of Denominators means LCM of 6906,1527 as per the given fractions.

LCM of 6906,1527 is 3515154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,704

GCF of Fractions 540/6906,704/1527 is 4/3515154

2 540, 704
2 270, 352
135, 176

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 540,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,704 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 540,704 . The biggest common factor number is the GCF number.
So the greatest common factor 540,704 is 4.

Lets's calculate LCM of 6906,1527

3 6906, 1527
2302, 509

∴ So the LCM of the given numbers is 3 x 2302 x 509 = 3515154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3515154

Therefore, the GCF of Fractions 540/6906,704/1527 is 4/3515154

Least Common Multiple of 6906,1527 with GCF Formula

Least Common Multiple of 6906,1527 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 6906,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6906,1527) = 3

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

GCF(6906,1527) x common factors =3 x 1 = 3

LCM(6906,1527) = ( 6906 × 1527 ) / 3

LCM(6906,1527) = 10545462 / 3

LCM(6906,1527) = 3515154


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 540/6906, 704/1527

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 540/6906, 704/1527?

Answer: GCF of Numerators as per given numbers 540/6906, 704/1527 is

GCF of Numerators i.e. for 540,704 is 4

LCM of denominators i.e. for 6906,1527 is 3515154.

Thus, GCF of Fractions is 4/3515154.Finally, GCF of Fractions for 540/6906, 704/1527 is 4/3515154.