Greatest Common Factor of 40/611, 831/300, 826/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/611, 831/300, 826/477

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 40/611,831/300,826/477

Given fractions are 40/611,831/300,826/477

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 40,831,826

Greatest Common Factor of Numerators i.e. GCF of 40,831,826 is 1 .

LCM of Denominators means LCM of 611,300,477 as per the given fractions.

LCM of 611,300,477 is 29144700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,831,826

GCF of Fractions 40/611,831/300,826/477 is 1/29144700

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

Greatest Common Factor of 40,831,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,831,826 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

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 40,831,826 . The biggest common factor number is the GCF number.
So the greatest common factor 40,831,826 is 1.

Lets's calculate LCM of 611,300,477

3 611, 300, 477
611, 100, 159

∴ So the LCM of the given numbers is 3 x 611 x 100 x 159 = 29144700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29144700

Therefore, the GCF of Fractions 40/611,831/300,826/477 is 1/29144700

Least Common Multiple of 611,300,477 with GCF Formula

Least Common Multiple of 611,300,477 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 611,300,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,300,477) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(611,300,477) x common factors =1 x 3 = 3

LCM(611,300,477) = ( 611 × 300 × 477 ) / 3

LCM(611,300,477) = 87434100 / 3

LCM(611,300,477) = 29144700


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 40/611, 831/300, 826/477

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 40/611, 831/300, 826/477?

Answer: GCF of Numerators as per given numbers 40/611, 831/300, 826/477 is

GCF of Numerators i.e. for 40,831,826 is 1

LCM of denominators i.e. for 611,300,477 is 29144700.

Thus, GCF of Fractions is 1/29144700.Finally, GCF of Fractions for 40/611, 831/300, 826/477 is 1/29144700.