Greatest Common Factor of 2584/25, 5506/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2584/25, 5506/659

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 2584/25,5506/659

Given fractions are 2584/25,5506/659

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 2584,5506

Greatest Common Factor of Numerators i.e. GCF of 2584,5506 is 2 .

LCM of Denominators means LCM of 25,659 as per the given fractions.

LCM of 25,659 is 16475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2584,5506

GCF of Fractions 2584/25,5506/659 is 2/16475

2 2584, 5506
1292, 2753

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2584,5506 By Matching Biggest Common Factor Method

Greatest Common Factor of 2584,5506 By Matching Biggest Common Factor Method

Factors of 2584

List of positive integer factors of 2584 that divides 2584 without a remainder.

1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1,2,2753,5506

Greatest Common Factor

We found the factors 2584,5506 . The biggest common factor number is the GCF number.
So the greatest common factor 2584,5506 is 2.

Lets's calculate LCM of 25,659

Given numbers has no common factors except 1. So, there LCM is their product i.e 16475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16475

Therefore, the GCF of Fractions 2584/25,5506/659 is 2/16475

Least Common Multiple of 25,659 with GCF Formula

Least Common Multiple of 25,659 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 25,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,659) = 1

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

GCF(25,659) x common factors =1 x 1 = 1

LCM(25,659) = ( 25 × 659 ) / 1

LCM(25,659) = 16475 / 1

LCM(25,659) = 16475


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 2584/25, 5506/659

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 2584/25, 5506/659?

Answer: GCF of Numerators as per given numbers 2584/25, 5506/659 is

GCF of Numerators i.e. for 2584,5506 is 2

LCM of denominators i.e. for 25,659 is 16475.

Thus, GCF of Fractions is 2/16475.Finally, GCF of Fractions for 2584/25, 5506/659 is 2/16475.