Greatest Common Factor of 80/81, 160/26, 194/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/81, 160/26, 194/518

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 80/81,160/26,194/518

Given fractions are 80/81,160/26,194/518

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 80,160,194

Greatest Common Factor of Numerators i.e. GCF of 80,160,194 is 2 .

LCM of Denominators means LCM of 81,26,518 as per the given fractions.

LCM of 81,26,518 is 545454 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,160,194

GCF of Fractions 80/81,160/26,194/518 is 2/545454

2 80, 160, 194
40, 80, 97

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

Greatest Common Factor of 80,160,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,160,194 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 80,160,194 . The biggest common factor number is the GCF number.
So the greatest common factor 80,160,194 is 2.

Lets's calculate LCM of 81,26,518

2 81, 26, 518
81, 13, 259

∴ So the LCM of the given numbers is 2 x 81 x 13 x 259 = 545454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/545454

Therefore, the GCF of Fractions 80/81,160/26,194/518 is 2/545454

Least Common Multiple of 81,26,518 with GCF Formula

Least Common Multiple of 81,26,518 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 81,26,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,26,518) = 1

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

GCF(81,26,518) x common factors =1 x 2 = 2

LCM(81,26,518) = ( 81 × 26 × 518 ) / 2

LCM(81,26,518) = 1090908 / 2

LCM(81,26,518) = 545454


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 80/81, 160/26, 194/518

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 80/81, 160/26, 194/518?

Answer: GCF of Numerators as per given numbers 80/81, 160/26, 194/518 is

GCF of Numerators i.e. for 80,160,194 is 2

LCM of denominators i.e. for 81,26,518 is 545454.

Thus, GCF of Fractions is 2/545454.Finally, GCF of Fractions for 80/81, 160/26, 194/518 is 2/545454.