Greatest Common Factor of 5277/137, 7270/6747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5277/137, 7270/6747

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 5277/137,7270/6747

Given fractions are 5277/137,7270/6747

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 5277,7270

Greatest Common Factor of Numerators i.e. GCF of 5277,7270 is 1 .

LCM of Denominators means LCM of 137,6747 as per the given fractions.

LCM of 137,6747 is 924339 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5277,7270

GCF of Fractions 5277/137,7270/6747 is 1/924339

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

Greatest Common Factor of 5277,7270 By Matching Biggest Common Factor Method

Greatest Common Factor of 5277,7270 By Matching Biggest Common Factor Method

Factors of 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1,3,1759,5277

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors 5277,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 5277,7270 is 1.

Lets's calculate LCM of 137,6747

Given numbers has no common factors except 1. So, there LCM is their product i.e 924339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924339

Therefore, the GCF of Fractions 5277/137,7270/6747 is 1/924339

Least Common Multiple of 137,6747 with GCF Formula

Least Common Multiple of 137,6747 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 137,6747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,6747) = 1

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

GCF(137,6747) x common factors =1 x 1 = 1

LCM(137,6747) = ( 137 × 6747 ) / 1

LCM(137,6747) = 924339 / 1

LCM(137,6747) = 924339


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 5277/137, 7270/6747

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 5277/137, 7270/6747?

Answer: GCF of Numerators as per given numbers 5277/137, 7270/6747 is

GCF of Numerators i.e. for 5277,7270 is 1

LCM of denominators i.e. for 137,6747 is 924339.

Thus, GCF of Fractions is 1/924339.Finally, GCF of Fractions for 5277/137, 7270/6747 is 1/924339.