Greatest Common Factor of 5660/855, 6038/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5660/855, 6038/216

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 5660/855,6038/216

Given fractions are 5660/855,6038/216

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 5660,6038

Greatest Common Factor of Numerators i.e. GCF of 5660,6038 is 2 .

LCM of Denominators means LCM of 855,216 as per the given fractions.

LCM of 855,216 is 20520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5660,6038

GCF of Fractions 5660/855,6038/216 is 2/20520

2 5660, 6038
2830, 3019

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

Greatest Common Factor of 5660,6038 By Matching Biggest Common Factor Method

Greatest Common Factor of 5660,6038 By Matching Biggest Common Factor Method

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1,2,3019,6038

Greatest Common Factor

We found the factors 5660,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,6038 is 2.

Lets's calculate LCM of 855,216

3 855, 216
3 285, 72
95, 24

∴ So the LCM of the given numbers is 3 x 3 x 95 x 24 = 20520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20520

Therefore, the GCF of Fractions 5660/855,6038/216 is 2/20520

Least Common Multiple of 855,216 with GCF Formula

Least Common Multiple of 855,216 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 855,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,216) = 9

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

GCF(855,216) x common factors =9 x 1 = 9

LCM(855,216) = ( 855 × 216 ) / 9

LCM(855,216) = 184680 / 9

LCM(855,216) = 20520


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 5660/855, 6038/216

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 5660/855, 6038/216?

Answer: GCF of Numerators as per given numbers 5660/855, 6038/216 is

GCF of Numerators i.e. for 5660,6038 is 2

LCM of denominators i.e. for 855,216 is 20520.

Thus, GCF of Fractions is 2/20520.Finally, GCF of Fractions for 5660/855, 6038/216 is 2/20520.