Greatest Common Factor of 5039/73, 6727/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5039/73, 6727/440

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 5039/73,6727/440

Given fractions are 5039/73,6727/440

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 5039,6727

Greatest Common Factor of Numerators i.e. GCF of 5039,6727 is 1 .

LCM of Denominators means LCM of 73,440 as per the given fractions.

LCM of 73,440 is 32120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5039,6727

GCF of Fractions 5039/73,6727/440 is 1/32120

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

Greatest Common Factor of 5039,6727 By Matching Biggest Common Factor Method

Greatest Common Factor of 5039,6727 By Matching Biggest Common Factor Method

Factors of 5039

List of positive integer factors of 5039 that divides 5039 without a remainder.

1,5039

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1,7,31,217,961,6727

Greatest Common Factor

We found the factors 5039,6727 . The biggest common factor number is the GCF number.
So the greatest common factor 5039,6727 is 1.

Lets's calculate LCM of 73,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 32120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32120

Therefore, the GCF of Fractions 5039/73,6727/440 is 1/32120

Least Common Multiple of 73,440 with GCF Formula

Least Common Multiple of 73,440 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 73,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,440) = 1

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

GCF(73,440) x common factors =1 x 1 = 1

LCM(73,440) = ( 73 × 440 ) / 1

LCM(73,440) = 32120 / 1

LCM(73,440) = 32120


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 5039/73, 6727/440

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 5039/73, 6727/440?

Answer: GCF of Numerators as per given numbers 5039/73, 6727/440 is

GCF of Numerators i.e. for 5039,6727 is 1

LCM of denominators i.e. for 73,440 is 32120.

Thus, GCF of Fractions is 1/32120.Finally, GCF of Fractions for 5039/73, 6727/440 is 1/32120.