Greatest Common Factor of 809/71, 766/18, 940/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 809/71, 766/18, 940/212

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 809/71,766/18,940/212

Given fractions are 809/71,766/18,940/212

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 809,766,940

Greatest Common Factor of Numerators i.e. GCF of 809,766,940 is 1 .

LCM of Denominators means LCM of 71,18,212 as per the given fractions.

LCM of 71,18,212 is 135468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 809,766,940

GCF of Fractions 809/71,766/18,940/212 is 1/135468

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

Greatest Common Factor of 809,766,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,766,940 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 809,766,940 . The biggest common factor number is the GCF number.
So the greatest common factor 809,766,940 is 1.

Lets's calculate LCM of 71,18,212

2 71, 18, 212
71, 9, 106

∴ So the LCM of the given numbers is 2 x 71 x 9 x 106 = 135468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135468

Therefore, the GCF of Fractions 809/71,766/18,940/212 is 1/135468

Least Common Multiple of 71,18,212 with GCF Formula

Least Common Multiple of 71,18,212 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 71,18,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,18,212) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,18,212) x common factors =1 x 2 = 2

LCM(71,18,212) = ( 71 × 18 × 212 ) / 2

LCM(71,18,212) = 270936 / 2

LCM(71,18,212) = 135468


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 809/71, 766/18, 940/212

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 809/71, 766/18, 940/212?

Answer: GCF of Numerators as per given numbers 809/71, 766/18, 940/212 is

GCF of Numerators i.e. for 809,766,940 is 1

LCM of denominators i.e. for 71,18,212 is 135468.

Thus, GCF of Fractions is 1/135468.Finally, GCF of Fractions for 809/71, 766/18, 940/212 is 1/135468.