Greatest Common Factor of 40/515, 367/289, 205/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/515, 367/289, 205/466

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 40/515,367/289,205/466

Given fractions are 40/515,367/289,205/466

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 40,367,205

Greatest Common Factor of Numerators i.e. GCF of 40,367,205 is 1 .

LCM of Denominators means LCM of 515,289,466 as per the given fractions.

LCM of 515,289,466 is 69357110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,367,205

GCF of Fractions 40/515,367/289,205/466 is 1/69357110

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

Greatest Common Factor of 40,367,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,367,205 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 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 40,367,205 . The biggest common factor number is the GCF number.
So the greatest common factor 40,367,205 is 1.

Lets's calculate LCM of 515,289,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 69357110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69357110

Therefore, the GCF of Fractions 40/515,367/289,205/466 is 1/69357110

Least Common Multiple of 515,289,466 with GCF Formula

Least Common Multiple of 515,289,466 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 515,289,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,289,466) = 1

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

GCF(515,289,466) x common factors =1 x 1 = 1

LCM(515,289,466) = ( 515 × 289 × 466 ) / 1

LCM(515,289,466) = 69357110 / 1

LCM(515,289,466) = 69357110


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 40/515, 367/289, 205/466

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 40/515, 367/289, 205/466?

Answer: GCF of Numerators as per given numbers 40/515, 367/289, 205/466 is

GCF of Numerators i.e. for 40,367,205 is 1

LCM of denominators i.e. for 515,289,466 is 69357110.

Thus, GCF of Fractions is 1/69357110.Finally, GCF of Fractions for 40/515, 367/289, 205/466 is 1/69357110.