Greatest Common Factor of 40/491, 574/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/491, 574/790

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 40/491,574/790

Given fractions are 40/491,574/790

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 40,574

Greatest Common Factor of Numerators i.e. GCF of 40,574 is 2 .

LCM of Denominators means LCM of 491,790 as per the given fractions.

LCM of 491,790 is 387890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,574

GCF of Fractions 40/491,574/790 is 2/387890

2 40, 574
20, 287

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 40,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,574 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 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 40,574 . The biggest common factor number is the GCF number.
So the greatest common factor 40,574 is 2.

Lets's calculate LCM of 491,790

Given numbers has no common factors except 1. So, there LCM is their product i.e 387890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387890

Therefore, the GCF of Fractions 40/491,574/790 is 2/387890

Least Common Multiple of 491,790 with GCF Formula

Least Common Multiple of 491,790 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 491,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,790) = 1

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

GCF(491,790) x common factors =1 x 1 = 1

LCM(491,790) = ( 491 × 790 ) / 1

LCM(491,790) = 387890 / 1

LCM(491,790) = 387890


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 40/491, 574/790

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 40/491, 574/790?

Answer: GCF of Numerators as per given numbers 40/491, 574/790 is

GCF of Numerators i.e. for 40,574 is 2

LCM of denominators i.e. for 491,790 is 387890.

Thus, GCF of Fractions is 2/387890.Finally, GCF of Fractions for 40/491, 574/790 is 2/387890.