Greatest Common Factor of 540/85, 7867/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 540/85, 7867/672

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 540/85,7867/672

Given fractions are 540/85,7867/672

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 540,7867

Greatest Common Factor of Numerators i.e. GCF of 540,7867 is 1 .

LCM of Denominators means LCM of 85,672 as per the given fractions.

LCM of 85,672 is 57120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 540,7867

GCF of Fractions 540/85,7867/672 is 1/57120

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

Greatest Common Factor of 540,7867 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,7867 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 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1,7867

Greatest Common Factor

We found the factors 540,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 540,7867 is 1.

Lets's calculate LCM of 85,672

Given numbers has no common factors except 1. So, there LCM is their product i.e 57120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57120

Therefore, the GCF of Fractions 540/85,7867/672 is 1/57120

Least Common Multiple of 85,672 with GCF Formula

Least Common Multiple of 85,672 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 85,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,672) = 1

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

GCF(85,672) x common factors =1 x 1 = 1

LCM(85,672) = ( 85 × 672 ) / 1

LCM(85,672) = 57120 / 1

LCM(85,672) = 57120


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 540/85, 7867/672

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 540/85, 7867/672?

Answer: GCF of Numerators as per given numbers 540/85, 7867/672 is

GCF of Numerators i.e. for 540,7867 is 1

LCM of denominators i.e. for 85,672 is 57120.

Thus, GCF of Fractions is 1/57120.Finally, GCF of Fractions for 540/85, 7867/672 is 1/57120.