Greatest Common Factor of 80/732, 58/244, 203/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/732, 58/244, 203/334

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 80/732,58/244,203/334

Given fractions are 80/732,58/244,203/334

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 80,58,203

Greatest Common Factor of Numerators i.e. GCF of 80,58,203 is 1 .

LCM of Denominators means LCM of 732,244,334 as per the given fractions.

LCM of 732,244,334 is 122244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,58,203

GCF of Fractions 80/732,58/244,203/334 is 1/122244

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

Greatest Common Factor of 80,58,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,58,203 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 80,58,203 . The biggest common factor number is the GCF number.
So the greatest common factor 80,58,203 is 1.

Lets's calculate LCM of 732,244,334

2 732, 244, 334
2 366, 122, 167
61 183, 61, 167
3, 1, 167

∴ So the LCM of the given numbers is 2 x 2 x 61 x 3 x 1 x 167 = 122244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122244

Therefore, the GCF of Fractions 80/732,58/244,203/334 is 1/122244

Least Common Multiple of 732,244,334 with GCF Formula

Least Common Multiple of 732,244,334 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 732,244,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,244,334) = 2

common factors(in case of two or more numbers have common factors) = 244

GCF(732,244,334) x common factors =2 x 244 = 488

LCM(732,244,334) = ( 732 × 244 × 334 ) / 488

LCM(732,244,334) = 59655072 / 488

LCM(732,244,334) = 122244


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 80/732, 58/244, 203/334

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 80/732, 58/244, 203/334?

Answer: GCF of Numerators as per given numbers 80/732, 58/244, 203/334 is

GCF of Numerators i.e. for 80,58,203 is 1

LCM of denominators i.e. for 732,244,334 is 122244.

Thus, GCF of Fractions is 1/122244.Finally, GCF of Fractions for 80/732, 58/244, 203/334 is 1/122244.