Greatest Common Factor of 2289/120, 5355/3114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2289/120, 5355/3114

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 2289/120,5355/3114

Given fractions are 2289/120,5355/3114

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 2289,5355

Greatest Common Factor of Numerators i.e. GCF of 2289,5355 is 21 .

LCM of Denominators means LCM of 120,3114 as per the given fractions.

LCM of 120,3114 is 62280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2289,5355

GCF of Fractions 2289/120,5355/3114 is 21/62280

3 2289, 5355
7 763, 1785
109, 255

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

Greatest Common Factor of 2289,5355 By Matching Biggest Common Factor Method

Greatest Common Factor of 2289,5355 By Matching Biggest Common Factor Method

Factors of 2289

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

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

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors 2289,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 2289,5355 is 21.

Lets's calculate LCM of 120,3114

2 120, 3114
3 60, 1557
20, 519

∴ So the LCM of the given numbers is 2 x 3 x 20 x 519 = 62280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/62280

Therefore, the GCF of Fractions 2289/120,5355/3114 is 21/62280

Least Common Multiple of 120,3114 with GCF Formula

Least Common Multiple of 120,3114 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 120,3114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,3114) = 6

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

GCF(120,3114) x common factors =6 x 1 = 6

LCM(120,3114) = ( 120 × 3114 ) / 6

LCM(120,3114) = 373680 / 6

LCM(120,3114) = 62280


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 2289/120, 5355/3114

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 2289/120, 5355/3114?

Answer: GCF of Numerators as per given numbers 2289/120, 5355/3114 is

GCF of Numerators i.e. for 2289,5355 is 21

LCM of denominators i.e. for 120,3114 is 62280.

Thus, GCF of Fractions is 21/62280.Finally, GCF of Fractions for 2289/120, 5355/3114 is 21/62280.