Greatest Common Factor of 80/130, 722/678, 229/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/130, 722/678, 229/104

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 80/130,722/678,229/104

Given fractions are 80/130,722/678,229/104

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 80,722,229

Greatest Common Factor of Numerators i.e. GCF of 80,722,229 is 1 .

LCM of Denominators means LCM of 130,678,104 as per the given fractions.

LCM of 130,678,104 is 176280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,722,229

GCF of Fractions 80/130,722/678,229/104 is 1/176280

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

Greatest Common Factor of 80,722,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,722,229 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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 80,722,229 . The biggest common factor number is the GCF number.
So the greatest common factor 80,722,229 is 1.

Lets's calculate LCM of 130,678,104

2 130, 678, 104
13 65, 339, 52
5, 339, 4

∴ So the LCM of the given numbers is 2 x 13 x 5 x 339 x 4 = 176280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176280

Therefore, the GCF of Fractions 80/130,722/678,229/104 is 1/176280

Least Common Multiple of 130,678,104 with GCF Formula

Least Common Multiple of 130,678,104 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 130,678,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,678,104) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(130,678,104) x common factors =2 x 26 = 52

LCM(130,678,104) = ( 130 × 678 × 104 ) / 52

LCM(130,678,104) = 9166560 / 52

LCM(130,678,104) = 176280


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 80/130, 722/678, 229/104

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 80/130, 722/678, 229/104?

Answer: GCF of Numerators as per given numbers 80/130, 722/678, 229/104 is

GCF of Numerators i.e. for 80,722,229 is 1

LCM of denominators i.e. for 130,678,104 is 176280.

Thus, GCF of Fractions is 1/176280.Finally, GCF of Fractions for 80/130, 722/678, 229/104 is 1/176280.