Greatest Common Factor of 13/211, 306/429, 556/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/211, 306/429, 556/877

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 13/211,306/429,556/877

Given fractions are 13/211,306/429,556/877

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 13,306,556

Greatest Common Factor of Numerators i.e. GCF of 13,306,556 is 1 .

LCM of Denominators means LCM of 211,429,877 as per the given fractions.

LCM of 211,429,877 is 79385163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,306,556

GCF of Fractions 13/211,306/429,556/877 is 1/79385163

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

Greatest Common Factor of 13,306,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,306,556 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 13,306,556 . The biggest common factor number is the GCF number.
So the greatest common factor 13,306,556 is 1.

Lets's calculate LCM of 211,429,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 79385163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79385163

Therefore, the GCF of Fractions 13/211,306/429,556/877 is 1/79385163

Least Common Multiple of 211,429,877 with GCF Formula

Least Common Multiple of 211,429,877 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 211,429,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,429,877) = 1

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

GCF(211,429,877) x common factors =1 x 1 = 1

LCM(211,429,877) = ( 211 × 429 × 877 ) / 1

LCM(211,429,877) = 79385163 / 1

LCM(211,429,877) = 79385163


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 13/211, 306/429, 556/877

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 13/211, 306/429, 556/877?

Answer: GCF of Numerators as per given numbers 13/211, 306/429, 556/877 is

GCF of Numerators i.e. for 13,306,556 is 1

LCM of denominators i.e. for 211,429,877 is 79385163.

Thus, GCF of Fractions is 1/79385163.Finally, GCF of Fractions for 13/211, 306/429, 556/877 is 1/79385163.