Greatest Common Factor of 839/59, 131/41, 826/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 839/59, 131/41, 826/421

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 839/59,131/41,826/421

Given fractions are 839/59,131/41,826/421

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 839,131,826

Greatest Common Factor of Numerators i.e. GCF of 839,131,826 is 1 .

LCM of Denominators means LCM of 59,41,421 as per the given fractions.

LCM of 59,41,421 is 1018399 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 839,131,826

GCF of Fractions 839/59,131/41,826/421 is 1/1018399

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

Greatest Common Factor of 839,131,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,131,826 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 839,131,826 . The biggest common factor number is the GCF number.
So the greatest common factor 839,131,826 is 1.

Lets's calculate LCM of 59,41,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 1018399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1018399

Therefore, the GCF of Fractions 839/59,131/41,826/421 is 1/1018399

Least Common Multiple of 59,41,421 with GCF Formula

Least Common Multiple of 59,41,421 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 59,41,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,41,421) = 1

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

GCF(59,41,421) x common factors =1 x 1 = 1

LCM(59,41,421) = ( 59 × 41 × 421 ) / 1

LCM(59,41,421) = 1018399 / 1

LCM(59,41,421) = 1018399


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 839/59, 131/41, 826/421

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 839/59, 131/41, 826/421?

Answer: GCF of Numerators as per given numbers 839/59, 131/41, 826/421 is

GCF of Numerators i.e. for 839,131,826 is 1

LCM of denominators i.e. for 59,41,421 is 1018399.

Thus, GCF of Fractions is 1/1018399.Finally, GCF of Fractions for 839/59, 131/41, 826/421 is 1/1018399.