Greatest Common Factor of 180/878, 1791/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/878, 1791/428

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 180/878,1791/428

Given fractions are 180/878,1791/428

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 180,1791

Greatest Common Factor of Numerators i.e. GCF of 180,1791 is 9 .

LCM of Denominators means LCM of 878,428 as per the given fractions.

LCM of 878,428 is 187892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,1791

GCF of Fractions 180/878,1791/428 is 9/187892

3 180, 1791
3 60, 597
20, 199

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 180,1791 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,1791 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 1791

List of positive integer factors of 1791 that divides 1791 without a remainder.

1,3,9,199,597,1791

Greatest Common Factor

We found the factors 180,1791 . The biggest common factor number is the GCF number.
So the greatest common factor 180,1791 is 9.

Lets's calculate LCM of 878,428

2 878, 428
439, 214

∴ So the LCM of the given numbers is 2 x 439 x 214 = 187892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/187892

Therefore, the GCF of Fractions 180/878,1791/428 is 9/187892

Least Common Multiple of 878,428 with GCF Formula

Least Common Multiple of 878,428 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 878,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,428) = 2

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

GCF(878,428) x common factors =2 x 1 = 2

LCM(878,428) = ( 878 × 428 ) / 2

LCM(878,428) = 375784 / 2

LCM(878,428) = 187892


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 180/878, 1791/428

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 180/878, 1791/428?

Answer: GCF of Numerators as per given numbers 180/878, 1791/428 is

GCF of Numerators i.e. for 180,1791 is 9

LCM of denominators i.e. for 878,428 is 187892.

Thus, GCF of Fractions is 9/187892.Finally, GCF of Fractions for 180/878, 1791/428 is 9/187892.