Greatest Common Factor of 4123/638, 2040/4458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4123/638, 2040/4458

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 4123/638,2040/4458

Given fractions are 4123/638,2040/4458

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 4123,2040

Greatest Common Factor of Numerators i.e. GCF of 4123,2040 is 1 .

LCM of Denominators means LCM of 638,4458 as per the given fractions.

LCM of 638,4458 is 1422102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4123,2040

GCF of Fractions 4123/638,2040/4458 is 1/1422102

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

Greatest Common Factor of 4123,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 4123,2040 By Matching Biggest Common Factor Method

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1,7,19,31,133,217,589,4123

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 4123,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 4123,2040 is 1.

Lets's calculate LCM of 638,4458

2 638, 4458
319, 2229

∴ So the LCM of the given numbers is 2 x 319 x 2229 = 1422102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1422102

Therefore, the GCF of Fractions 4123/638,2040/4458 is 1/1422102

Least Common Multiple of 638,4458 with GCF Formula

Least Common Multiple of 638,4458 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 638,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,4458) = 2

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

GCF(638,4458) x common factors =2 x 1 = 2

LCM(638,4458) = ( 638 × 4458 ) / 2

LCM(638,4458) = 2844204 / 2

LCM(638,4458) = 1422102


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 4123/638, 2040/4458

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 4123/638, 2040/4458?

Answer: GCF of Numerators as per given numbers 4123/638, 2040/4458 is

GCF of Numerators i.e. for 4123,2040 is 1

LCM of denominators i.e. for 638,4458 is 1422102.

Thus, GCF of Fractions is 1/1422102.Finally, GCF of Fractions for 4123/638, 2040/4458 is 1/1422102.