Greatest Common Factor of 79/109, 60/720, 445/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/109, 60/720, 445/174

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 79/109,60/720,445/174

Given fractions are 79/109,60/720,445/174

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 79,60,445

Greatest Common Factor of Numerators i.e. GCF of 79,60,445 is 1 .

LCM of Denominators means LCM of 109,720,174 as per the given fractions.

LCM of 109,720,174 is 2275920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,60,445

GCF of Fractions 79/109,60/720,445/174 is 1/2275920

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

Greatest Common Factor of 79,60,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,60,445 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 79,60,445 . The biggest common factor number is the GCF number.
So the greatest common factor 79,60,445 is 1.

Lets's calculate LCM of 109,720,174

2 109, 720, 174
3 109, 360, 87
109, 120, 29

∴ So the LCM of the given numbers is 2 x 3 x 109 x 120 x 29 = 2275920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2275920

Therefore, the GCF of Fractions 79/109,60/720,445/174 is 1/2275920

Least Common Multiple of 109,720,174 with GCF Formula

Least Common Multiple of 109,720,174 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 109,720,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,720,174) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(109,720,174) x common factors =1 x 6 = 6

LCM(109,720,174) = ( 109 × 720 × 174 ) / 6

LCM(109,720,174) = 13655520 / 6

LCM(109,720,174) = 2275920


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 79/109, 60/720, 445/174

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 79/109, 60/720, 445/174?

Answer: GCF of Numerators as per given numbers 79/109, 60/720, 445/174 is

GCF of Numerators i.e. for 79,60,445 is 1

LCM of denominators i.e. for 109,720,174 is 2275920.

Thus, GCF of Fractions is 1/2275920.Finally, GCF of Fractions for 79/109, 60/720, 445/174 is 1/2275920.