Greatest Common Factor of 43/586, 40/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/586, 40/739

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 43/586,40/739

Given fractions are 43/586,40/739

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 43,40

Greatest Common Factor of Numerators i.e. GCF of 43,40 is 1 .

LCM of Denominators means LCM of 586,739 as per the given fractions.

LCM of 586,739 is 433054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,40

GCF of Fractions 43/586,40/739 is 1/433054

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

Greatest Common Factor of 43,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,40 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 40

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

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

Greatest Common Factor

We found the factors 43,40 . The biggest common factor number is the GCF number.
So the greatest common factor 43,40 is 1.

Lets's calculate LCM of 586,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 433054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433054

Therefore, the GCF of Fractions 43/586,40/739 is 1/433054

Least Common Multiple of 586,739 with GCF Formula

Least Common Multiple of 586,739 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 586,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,739) = 1

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

GCF(586,739) x common factors =1 x 1 = 1

LCM(586,739) = ( 586 × 739 ) / 1

LCM(586,739) = 433054 / 1

LCM(586,739) = 433054


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 43/586, 40/739

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 43/586, 40/739?

Answer: GCF of Numerators as per given numbers 43/586, 40/739 is

GCF of Numerators i.e. for 43,40 is 1

LCM of denominators i.e. for 586,739 is 433054.

Thus, GCF of Fractions is 1/433054.Finally, GCF of Fractions for 43/586, 40/739 is 1/433054.