Greatest Common Factor of 2104/10, 6338/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2104/10, 6338/604

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 2104/10,6338/604

Given fractions are 2104/10,6338/604

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 2104,6338

Greatest Common Factor of Numerators i.e. GCF of 2104,6338 is 2 .

LCM of Denominators means LCM of 10,604 as per the given fractions.

LCM of 10,604 is 3020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2104,6338

GCF of Fractions 2104/10,6338/604 is 2/3020

2 2104, 6338
1052, 3169

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

Greatest Common Factor of 2104,6338 By Matching Biggest Common Factor Method

Greatest Common Factor of 2104,6338 By Matching Biggest Common Factor Method

Factors of 2104

List of positive integer factors of 2104 that divides 2104 without a remainder.

1,2,4,8,263,526,1052,2104

Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1,2,3169,6338

Greatest Common Factor

We found the factors 2104,6338 . The biggest common factor number is the GCF number.
So the greatest common factor 2104,6338 is 2.

Lets's calculate LCM of 10,604

2 10, 604
5, 302

∴ So the LCM of the given numbers is 2 x 5 x 302 = 3020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3020

Therefore, the GCF of Fractions 2104/10,6338/604 is 2/3020

Least Common Multiple of 10,604 with GCF Formula

Least Common Multiple of 10,604 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 10,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,604) = 2

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

GCF(10,604) x common factors =2 x 1 = 2

LCM(10,604) = ( 10 × 604 ) / 2

LCM(10,604) = 6040 / 2

LCM(10,604) = 3020


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 2104/10, 6338/604

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 2104/10, 6338/604?

Answer: GCF of Numerators as per given numbers 2104/10, 6338/604 is

GCF of Numerators i.e. for 2104,6338 is 2

LCM of denominators i.e. for 10,604 is 3020.

Thus, GCF of Fractions is 2/3020.Finally, GCF of Fractions for 2104/10, 6338/604 is 2/3020.