Greatest Common Factor of 3935/54, 8637/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3935/54, 8637/720

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 3935/54,8637/720

Given fractions are 3935/54,8637/720

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 3935,8637

Greatest Common Factor of Numerators i.e. GCF of 3935,8637 is 1 .

LCM of Denominators means LCM of 54,720 as per the given fractions.

LCM of 54,720 is 2160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3935,8637

GCF of Fractions 3935/54,8637/720 is 1/2160

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

Greatest Common Factor of 3935,8637 By Matching Biggest Common Factor Method

Greatest Common Factor of 3935,8637 By Matching Biggest Common Factor Method

Factors of 3935

List of positive integer factors of 3935 that divides 3935 without a remainder.

1,5,787,3935

Factors of 8637

List of positive integer factors of 8637 that divides 8637 without a remainder.

1,3,2879,8637

Greatest Common Factor

We found the factors 3935,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 3935,8637 is 1.

Lets's calculate LCM of 54,720

2 54, 720
3 27, 360
3 9, 120
3, 40

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 40 = 2160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2160

Therefore, the GCF of Fractions 3935/54,8637/720 is 1/2160

Least Common Multiple of 54,720 with GCF Formula

Least Common Multiple of 54,720 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 54,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,720) = 18

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

GCF(54,720) x common factors =18 x 1 = 18

LCM(54,720) = ( 54 × 720 ) / 18

LCM(54,720) = 38880 / 18

LCM(54,720) = 2160


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 3935/54, 8637/720

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 3935/54, 8637/720?

Answer: GCF of Numerators as per given numbers 3935/54, 8637/720 is

GCF of Numerators i.e. for 3935,8637 is 1

LCM of denominators i.e. for 54,720 is 2160.

Thus, GCF of Fractions is 1/2160.Finally, GCF of Fractions for 3935/54, 8637/720 is 1/2160.