Greatest Common Factor of 11/180, 824/113, 613/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/180, 824/113, 613/641

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 11/180,824/113,613/641

Given fractions are 11/180,824/113,613/641

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 11,824,613

Greatest Common Factor of Numerators i.e. GCF of 11,824,613 is 1 .

LCM of Denominators means LCM of 180,113,641 as per the given fractions.

LCM of 180,113,641 is 13037940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,824,613

GCF of Fractions 11/180,824/113,613/641 is 1/13037940

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

Greatest Common Factor of 11,824,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,824,613 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 11,824,613 . The biggest common factor number is the GCF number.
So the greatest common factor 11,824,613 is 1.

Lets's calculate LCM of 180,113,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 13037940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13037940

Therefore, the GCF of Fractions 11/180,824/113,613/641 is 1/13037940

Least Common Multiple of 180,113,641 with GCF Formula

Least Common Multiple of 180,113,641 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 180,113,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,113,641) = 1

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

GCF(180,113,641) x common factors =1 x 1 = 1

LCM(180,113,641) = ( 180 × 113 × 641 ) / 1

LCM(180,113,641) = 13037940 / 1

LCM(180,113,641) = 13037940


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 11/180, 824/113, 613/641

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 11/180, 824/113, 613/641?

Answer: GCF of Numerators as per given numbers 11/180, 824/113, 613/641 is

GCF of Numerators i.e. for 11,824,613 is 1

LCM of denominators i.e. for 180,113,641 is 13037940.

Thus, GCF of Fractions is 1/13037940.Finally, GCF of Fractions for 11/180, 824/113, 613/641 is 1/13037940.