Greatest Common Factor of 180/91, 698/13, 794/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/91, 698/13, 794/332

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 180/91,698/13,794/332

Given fractions are 180/91,698/13,794/332

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 180,698,794

Greatest Common Factor of Numerators i.e. GCF of 180,698,794 is 2 .

LCM of Denominators means LCM of 91,13,332 as per the given fractions.

LCM of 91,13,332 is 30212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,698,794

GCF of Fractions 180/91,698/13,794/332 is 2/30212

2 180, 698, 794
90, 349, 397

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

Greatest Common Factor of 180,698,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,698,794 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 180,698,794 . The biggest common factor number is the GCF number.
So the greatest common factor 180,698,794 is 2.

Lets's calculate LCM of 91,13,332

13 91, 13, 332
7, 1, 332

∴ So the LCM of the given numbers is 13 x 7 x 1 x 332 = 30212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30212

Therefore, the GCF of Fractions 180/91,698/13,794/332 is 2/30212

Least Common Multiple of 91,13,332 with GCF Formula

Least Common Multiple of 91,13,332 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 91,13,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,13,332) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,13,332) x common factors =1 x 13 = 13

LCM(91,13,332) = ( 91 × 13 × 332 ) / 13

LCM(91,13,332) = 392756 / 13

LCM(91,13,332) = 30212


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 180/91, 698/13, 794/332

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 180/91, 698/13, 794/332?

Answer: GCF of Numerators as per given numbers 180/91, 698/13, 794/332 is

GCF of Numerators i.e. for 180,698,794 is 2

LCM of denominators i.e. for 91,13,332 is 30212.

Thus, GCF of Fractions is 2/30212.Finally, GCF of Fractions for 180/91, 698/13, 794/332 is 2/30212.