Greatest Common Factor of 790/99, 160/17, 174/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/99, 160/17, 174/127

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 790/99,160/17,174/127

Given fractions are 790/99,160/17,174/127

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 790,160,174

Greatest Common Factor of Numerators i.e. GCF of 790,160,174 is 2 .

LCM of Denominators means LCM of 99,17,127 as per the given fractions.

LCM of 99,17,127 is 213741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,160,174

GCF of Fractions 790/99,160/17,174/127 is 2/213741

2 790, 160, 174
395, 80, 87

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

Greatest Common Factor of 790,160,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,160,174 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

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 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 790,160,174 . The biggest common factor number is the GCF number.
So the greatest common factor 790,160,174 is 2.

Lets's calculate LCM of 99,17,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 213741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213741

Therefore, the GCF of Fractions 790/99,160/17,174/127 is 2/213741

Least Common Multiple of 99,17,127 with GCF Formula

Least Common Multiple of 99,17,127 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 99,17,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,17,127) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(99,17,127) x common factors =1 x 1 = 1

LCM(99,17,127) = ( 99 × 17 × 127 ) / 1

LCM(99,17,127) = 213741 / 1

LCM(99,17,127) = 213741


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 790/99, 160/17, 174/127

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 790/99, 160/17, 174/127?

Answer: GCF of Numerators as per given numbers 790/99, 160/17, 174/127 is

GCF of Numerators i.e. for 790,160,174 is 2

LCM of denominators i.e. for 99,17,127 is 213741.

Thus, GCF of Fractions is 2/213741.Finally, GCF of Fractions for 790/99, 160/17, 174/127 is 2/213741.