Greatest Common Factor of 655/289, 2160/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/289, 2160/306

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 655/289,2160/306

Given fractions are 655/289,2160/306

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 655,2160

Greatest Common Factor of Numerators i.e. GCF of 655,2160 is 5 .

LCM of Denominators means LCM of 289,306 as per the given fractions.

LCM of 289,306 is 5202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,2160

GCF of Fractions 655/289,2160/306 is 5/5202

5 655, 2160
131, 432

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 655,2160 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,2160 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 2160

List of positive integer factors of 2160 that divides 2160 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160

Greatest Common Factor

We found the factors 655,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 655,2160 is 5.

Lets's calculate LCM of 289,306

17 289, 306
17, 18

∴ So the LCM of the given numbers is 17 x 17 x 18 = 5202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5202

Therefore, the GCF of Fractions 655/289,2160/306 is 5/5202

Least Common Multiple of 289,306 with GCF Formula

Least Common Multiple of 289,306 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 289,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,306) = 17

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

GCF(289,306) x common factors =17 x 1 = 17

LCM(289,306) = ( 289 × 306 ) / 17

LCM(289,306) = 88434 / 17

LCM(289,306) = 5202


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 655/289, 2160/306

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 655/289, 2160/306?

Answer: GCF of Numerators as per given numbers 655/289, 2160/306 is

GCF of Numerators i.e. for 655,2160 is 5

LCM of denominators i.e. for 289,306 is 5202.

Thus, GCF of Fractions is 5/5202.Finally, GCF of Fractions for 655/289, 2160/306 is 5/5202.