Greatest Common Factor of 1504/263, 2584/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1504/263, 2584/652

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 1504/263,2584/652

Given fractions are 1504/263,2584/652

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 1504,2584

Greatest Common Factor of Numerators i.e. GCF of 1504,2584 is 8 .

LCM of Denominators means LCM of 263,652 as per the given fractions.

LCM of 263,652 is 171476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1504,2584

GCF of Fractions 1504/263,2584/652 is 8/171476

2 1504, 2584
2 752, 1292
2 376, 646
188, 323

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1504,2584 By Matching Biggest Common Factor Method

Greatest Common Factor of 1504,2584 By Matching Biggest Common Factor Method

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

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

Greatest Common Factor

We found the factors 1504,2584 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,2584 is 8.

Lets's calculate LCM of 263,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 171476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/171476

Therefore, the GCF of Fractions 1504/263,2584/652 is 8/171476

Least Common Multiple of 263,652 with GCF Formula

Least Common Multiple of 263,652 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 263,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,652) = 1

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

GCF(263,652) x common factors =1 x 1 = 1

LCM(263,652) = ( 263 × 652 ) / 1

LCM(263,652) = 171476 / 1

LCM(263,652) = 171476


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 1504/263, 2584/652

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 1504/263, 2584/652?

Answer: GCF of Numerators as per given numbers 1504/263, 2584/652 is

GCF of Numerators i.e. for 1504,2584 is 8

LCM of denominators i.e. for 263,652 is 171476.

Thus, GCF of Fractions is 8/171476.Finally, GCF of Fractions for 1504/263, 2584/652 is 8/171476.