Greatest Common Factor of 80/68, 55/18, 944/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/68, 55/18, 944/239

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 80/68,55/18,944/239

Given fractions are 80/68,55/18,944/239

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 80,55,944

Greatest Common Factor of Numerators i.e. GCF of 80,55,944 is 1 .

LCM of Denominators means LCM of 68,18,239 as per the given fractions.

LCM of 68,18,239 is 146268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,55,944

GCF of Fractions 80/68,55/18,944/239 is 1/146268

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

Greatest Common Factor of 80,55,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,55,944 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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 80,55,944 . The biggest common factor number is the GCF number.
So the greatest common factor 80,55,944 is 1.

Lets's calculate LCM of 68,18,239

2 68, 18, 239
34, 9, 239

∴ So the LCM of the given numbers is 2 x 34 x 9 x 239 = 146268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146268

Therefore, the GCF of Fractions 80/68,55/18,944/239 is 1/146268

Least Common Multiple of 68,18,239 with GCF Formula

Least Common Multiple of 68,18,239 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 68,18,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,18,239) = 1

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

GCF(68,18,239) x common factors =1 x 2 = 2

LCM(68,18,239) = ( 68 × 18 × 239 ) / 2

LCM(68,18,239) = 292536 / 2

LCM(68,18,239) = 146268


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 80/68, 55/18, 944/239

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 80/68, 55/18, 944/239?

Answer: GCF of Numerators as per given numbers 80/68, 55/18, 944/239 is

GCF of Numerators i.e. for 80,55,944 is 1

LCM of denominators i.e. for 68,18,239 is 146268.

Thus, GCF of Fractions is 1/146268.Finally, GCF of Fractions for 80/68, 55/18, 944/239 is 1/146268.