Greatest Common Factor of 3594/240, 5116/5455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3594/240, 5116/5455

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 3594/240,5116/5455

Given fractions are 3594/240,5116/5455

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 3594,5116

Greatest Common Factor of Numerators i.e. GCF of 3594,5116 is 2 .

LCM of Denominators means LCM of 240,5455 as per the given fractions.

LCM of 240,5455 is 261840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3594,5116

GCF of Fractions 3594/240,5116/5455 is 2/261840

2 3594, 5116
1797, 2558

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

Greatest Common Factor of 3594,5116 By Matching Biggest Common Factor Method

Greatest Common Factor of 3594,5116 By Matching Biggest Common Factor Method

Factors of 3594

List of positive integer factors of 3594 that divides 3594 without a remainder.

1,2,3,6,599,1198,1797,3594

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Greatest Common Factor

We found the factors 3594,5116 . The biggest common factor number is the GCF number.
So the greatest common factor 3594,5116 is 2.

Lets's calculate LCM of 240,5455

5 240, 5455
48, 1091

∴ So the LCM of the given numbers is 5 x 48 x 1091 = 261840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261840

Therefore, the GCF of Fractions 3594/240,5116/5455 is 2/261840

Least Common Multiple of 240,5455 with GCF Formula

Least Common Multiple of 240,5455 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 240,5455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,5455) = 5

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

GCF(240,5455) x common factors =5 x 1 = 5

LCM(240,5455) = ( 240 × 5455 ) / 5

LCM(240,5455) = 1309200 / 5

LCM(240,5455) = 261840


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 3594/240, 5116/5455

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 3594/240, 5116/5455?

Answer: GCF of Numerators as per given numbers 3594/240, 5116/5455 is

GCF of Numerators i.e. for 3594,5116 is 2

LCM of denominators i.e. for 240,5455 is 261840.

Thus, GCF of Fractions is 2/261840.Finally, GCF of Fractions for 3594/240, 5116/5455 is 2/261840.