Greatest Common Factor of 4509/827, 2638/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4509/827, 2638/652

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 4509/827,2638/652

Given fractions are 4509/827,2638/652

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 4509,2638

Greatest Common Factor of Numerators i.e. GCF of 4509,2638 is 1 .

LCM of Denominators means LCM of 827,652 as per the given fractions.

LCM of 827,652 is 539204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4509,2638

GCF of Fractions 4509/827,2638/652 is 1/539204

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

Greatest Common Factor of 4509,2638 By Matching Biggest Common Factor Method

Greatest Common Factor of 4509,2638 By Matching Biggest Common Factor Method

Factors of 4509

List of positive integer factors of 4509 that divides 4509 without a remainder.

1,3,9,27,167,501,1503,4509

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

Greatest Common Factor

We found the factors 4509,2638 . The biggest common factor number is the GCF number.
So the greatest common factor 4509,2638 is 1.

Lets's calculate LCM of 827,652

Given numbers has no common factors except 1. So, there LCM is their product i.e 539204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539204

Therefore, the GCF of Fractions 4509/827,2638/652 is 1/539204

Least Common Multiple of 827,652 with GCF Formula

Least Common Multiple of 827,652 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 827,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,652) = 1

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

GCF(827,652) x common factors =1 x 1 = 1

LCM(827,652) = ( 827 × 652 ) / 1

LCM(827,652) = 539204 / 1

LCM(827,652) = 539204


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 4509/827, 2638/652

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 4509/827, 2638/652?

Answer: GCF of Numerators as per given numbers 4509/827, 2638/652 is

GCF of Numerators i.e. for 4509,2638 is 1

LCM of denominators i.e. for 827,652 is 539204.

Thus, GCF of Fractions is 1/539204.Finally, GCF of Fractions for 4509/827, 2638/652 is 1/539204.