Greatest Common Factor of 2644/422, 4899/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2644/422, 4899/360

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 2644/422,4899/360

Given fractions are 2644/422,4899/360

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 2644,4899

Greatest Common Factor of Numerators i.e. GCF of 2644,4899 is 1 .

LCM of Denominators means LCM of 422,360 as per the given fractions.

LCM of 422,360 is 75960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2644,4899

GCF of Fractions 2644/422,4899/360 is 1/75960

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

Greatest Common Factor of 2644,4899 By Matching Biggest Common Factor Method

Greatest Common Factor of 2644,4899 By Matching Biggest Common Factor Method

Factors of 2644

List of positive integer factors of 2644 that divides 2644 without a remainder.

1,2,4,661,1322,2644

Factors of 4899

List of positive integer factors of 4899 that divides 4899 without a remainder.

1,3,23,69,71,213,1633,4899

Greatest Common Factor

We found the factors 2644,4899 . The biggest common factor number is the GCF number.
So the greatest common factor 2644,4899 is 1.

Lets's calculate LCM of 422,360

2 422, 360
211, 180

∴ So the LCM of the given numbers is 2 x 211 x 180 = 75960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75960

Therefore, the GCF of Fractions 2644/422,4899/360 is 1/75960

Least Common Multiple of 422,360 with GCF Formula

Least Common Multiple of 422,360 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 422,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,360) = 2

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

GCF(422,360) x common factors =2 x 1 = 2

LCM(422,360) = ( 422 × 360 ) / 2

LCM(422,360) = 151920 / 2

LCM(422,360) = 75960


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 2644/422, 4899/360

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 2644/422, 4899/360?

Answer: GCF of Numerators as per given numbers 2644/422, 4899/360 is

GCF of Numerators i.e. for 2644,4899 is 1

LCM of denominators i.e. for 422,360 is 75960.

Thus, GCF of Fractions is 1/75960.Finally, GCF of Fractions for 2644/422, 4899/360 is 1/75960.