Greatest Common Factor of 13/211, 20/900, 883/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/211, 20/900, 883/864

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 13/211,20/900,883/864

Given fractions are 13/211,20/900,883/864

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 13,20,883

Greatest Common Factor of Numerators i.e. GCF of 13,20,883 is 1 .

LCM of Denominators means LCM of 211,900,864 as per the given fractions.

LCM of 211,900,864 is 4557600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,20,883

GCF of Fractions 13/211,20/900,883/864 is 1/4557600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 13,20,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,20,883 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 13,20,883 . The biggest common factor number is the GCF number.
So the greatest common factor 13,20,883 is 1.

Lets's calculate LCM of 211,900,864

2 211, 900, 864
2 211, 450, 432
3 211, 225, 216
3 211, 75, 72
211, 25, 24

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 211 x 25 x 24 = 4557600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4557600

Therefore, the GCF of Fractions 13/211,20/900,883/864 is 1/4557600

Least Common Multiple of 211,900,864 with GCF Formula

Least Common Multiple of 211,900,864 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 211,900,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,900,864) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(211,900,864) x common factors =1 x 36 = 36

LCM(211,900,864) = ( 211 × 900 × 864 ) / 36

LCM(211,900,864) = 164073600 / 36

LCM(211,900,864) = 4557600


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 13/211, 20/900, 883/864

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 13/211, 20/900, 883/864?

Answer: GCF of Numerators as per given numbers 13/211, 20/900, 883/864 is

GCF of Numerators i.e. for 13,20,883 is 1

LCM of denominators i.e. for 211,900,864 is 4557600.

Thus, GCF of Fractions is 1/4557600.Finally, GCF of Fractions for 13/211, 20/900, 883/864 is 1/4557600.