Greatest Common Factor of 6260/71, 5281/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6260/71, 5281/288

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 6260/71,5281/288

Given fractions are 6260/71,5281/288

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 6260,5281

Greatest Common Factor of Numerators i.e. GCF of 6260,5281 is 1 .

LCM of Denominators means LCM of 71,288 as per the given fractions.

LCM of 71,288 is 20448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6260,5281

GCF of Fractions 6260/71,5281/288 is 1/20448

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

Greatest Common Factor of 6260,5281 By Matching Biggest Common Factor Method

Greatest Common Factor of 6260,5281 By Matching Biggest Common Factor Method

Factors of 6260

List of positive integer factors of 6260 that divides 6260 without a remainder.

1,2,4,5,10,20,313,626,1252,1565,3130,6260

Factors of 5281

List of positive integer factors of 5281 that divides 5281 without a remainder.

1,5281

Greatest Common Factor

We found the factors 6260,5281 . The biggest common factor number is the GCF number.
So the greatest common factor 6260,5281 is 1.

Lets's calculate LCM of 71,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 20448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20448

Therefore, the GCF of Fractions 6260/71,5281/288 is 1/20448

Least Common Multiple of 71,288 with GCF Formula

Least Common Multiple of 71,288 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 71,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,288) = 1

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

GCF(71,288) x common factors =1 x 1 = 1

LCM(71,288) = ( 71 × 288 ) / 1

LCM(71,288) = 20448 / 1

LCM(71,288) = 20448


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 6260/71, 5281/288

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 6260/71, 5281/288?

Answer: GCF of Numerators as per given numbers 6260/71, 5281/288 is

GCF of Numerators i.e. for 6260,5281 is 1

LCM of denominators i.e. for 71,288 is 20448.

Thus, GCF of Fractions is 1/20448.Finally, GCF of Fractions for 6260/71, 5281/288 is 1/20448.