Greatest Common Factor of 2587/728, 5423/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2587/728, 5423/260

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 2587/728,5423/260

Given fractions are 2587/728,5423/260

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 2587,5423

Greatest Common Factor of Numerators i.e. GCF of 2587,5423 is 1 .

LCM of Denominators means LCM of 728,260 as per the given fractions.

LCM of 728,260 is 3640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2587,5423

GCF of Fractions 2587/728,5423/260 is 1/3640

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

Greatest Common Factor of 2587,5423 By Matching Biggest Common Factor Method

Greatest Common Factor of 2587,5423 By Matching Biggest Common Factor Method

Factors of 2587

List of positive integer factors of 2587 that divides 2587 without a remainder.

1,13,199,2587

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1,11,17,29,187,319,493,5423

Greatest Common Factor

We found the factors 2587,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 2587,5423 is 1.

Lets's calculate LCM of 728,260

2 728, 260
2 364, 130
13 182, 65
14, 5

∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 5 = 3640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640

Therefore, the GCF of Fractions 2587/728,5423/260 is 1/3640

Least Common Multiple of 728,260 with GCF Formula

Least Common Multiple of 728,260 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 728,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,260) = 52

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

GCF(728,260) x common factors =52 x 1 = 52

LCM(728,260) = ( 728 × 260 ) / 52

LCM(728,260) = 189280 / 52

LCM(728,260) = 3640


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 2587/728, 5423/260

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 2587/728, 5423/260?

Answer: GCF of Numerators as per given numbers 2587/728, 5423/260 is

GCF of Numerators i.e. for 2587,5423 is 1

LCM of denominators i.e. for 728,260 is 3640.

Thus, GCF of Fractions is 1/3640.Finally, GCF of Fractions for 2587/728, 5423/260 is 1/3640.