Greatest Common Factor of 4049/422, 5268/4344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4049/422, 5268/4344

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 4049/422,5268/4344

Given fractions are 4049/422,5268/4344

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 4049,5268

Greatest Common Factor of Numerators i.e. GCF of 4049,5268 is 1 .

LCM of Denominators means LCM of 422,4344 as per the given fractions.

LCM of 422,4344 is 916584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4049,5268

GCF of Fractions 4049/422,5268/4344 is 1/916584

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

Greatest Common Factor of 4049,5268 By Matching Biggest Common Factor Method

Greatest Common Factor of 4049,5268 By Matching Biggest Common Factor Method

Factors of 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1,4049

Factors of 5268

List of positive integer factors of 5268 that divides 5268 without a remainder.

1,2,3,4,6,12,439,878,1317,1756,2634,5268

Greatest Common Factor

We found the factors 4049,5268 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,5268 is 1.

Lets's calculate LCM of 422,4344

2 422, 4344
211, 2172

∴ So the LCM of the given numbers is 2 x 211 x 2172 = 916584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/916584

Therefore, the GCF of Fractions 4049/422,5268/4344 is 1/916584

Least Common Multiple of 422,4344 with GCF Formula

Least Common Multiple of 422,4344 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 422,4344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,4344) = 2

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

GCF(422,4344) x common factors =2 x 1 = 2

LCM(422,4344) = ( 422 × 4344 ) / 2

LCM(422,4344) = 1833168 / 2

LCM(422,4344) = 916584


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 4049/422, 5268/4344

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 4049/422, 5268/4344?

Answer: GCF of Numerators as per given numbers 4049/422, 5268/4344 is

GCF of Numerators i.e. for 4049,5268 is 1

LCM of denominators i.e. for 422,4344 is 916584.

Thus, GCF of Fractions is 1/916584.Finally, GCF of Fractions for 4049/422, 5268/4344 is 1/916584.