Greatest Common Factor of 3129/620, 2289/5453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3129/620, 2289/5453

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 3129/620,2289/5453

Given fractions are 3129/620,2289/5453

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 3129,2289

Greatest Common Factor of Numerators i.e. GCF of 3129,2289 is 21 .

LCM of Denominators means LCM of 620,5453 as per the given fractions.

LCM of 620,5453 is 3380860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3129,2289

GCF of Fractions 3129/620,2289/5453 is 21/3380860

3 3129, 2289
7 1043, 763
149, 109

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 3129,2289 By Matching Biggest Common Factor Method

Greatest Common Factor of 3129,2289 By Matching Biggest Common Factor Method

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Greatest Common Factor

We found the factors 3129,2289 . The biggest common factor number is the GCF number.
So the greatest common factor 3129,2289 is 21.

Lets's calculate LCM of 620,5453

Given numbers has no common factors except 1. So, there LCM is their product i.e 3380860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/3380860

Therefore, the GCF of Fractions 3129/620,2289/5453 is 21/3380860

Least Common Multiple of 620,5453 with GCF Formula

Least Common Multiple of 620,5453 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 620,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,5453) = 1

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

GCF(620,5453) x common factors =1 x 1 = 1

LCM(620,5453) = ( 620 × 5453 ) / 1

LCM(620,5453) = 3380860 / 1

LCM(620,5453) = 3380860


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 3129/620, 2289/5453

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 3129/620, 2289/5453?

Answer: GCF of Numerators as per given numbers 3129/620, 2289/5453 is

GCF of Numerators i.e. for 3129,2289 is 21

LCM of denominators i.e. for 620,5453 is 3380860.

Thus, GCF of Fractions is 21/3380860.Finally, GCF of Fractions for 3129/620, 2289/5453 is 21/3380860.