Greatest Common Factor of 2/65, 73/40, 69/209, 288/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/65, 73/40, 69/209, 288/477

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 2/65,73/40,69/209,288/477

Given fractions are 2/65,73/40,69/209,288/477

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 2,73,69,288

Greatest Common Factor of Numerators i.e. GCF of 2,73,69,288 is 1 .

LCM of Denominators means LCM of 65,40,209,477 as per the given fractions.

LCM of 65,40,209,477 is 51840360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,73,69,288

GCF of Fractions 2/65,73/40,69/209,288/477 is 1/51840360

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

Greatest Common Factor of 2,73,69,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,73,69,288 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 2,73,69,288 . The biggest common factor number is the GCF number.
So the greatest common factor 2,73,69,288 is 1.

Lets's calculate LCM of 65,40,209,477

5 65, 40, 209, 477
13, 8, 209, 477

∴ So the LCM of the given numbers is 5 x 13 x 8 x 209 x 477 = 51840360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51840360

Therefore, the GCF of Fractions 2/65,73/40,69/209,288/477 is 1/51840360

Least Common Multiple of 65,40,209,477 with GCF Formula

Least Common Multiple of 65,40,209,477 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 65,40,209,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,40,209,477) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,40,209,477) x common factors =1 x 5 = 5

LCM(65,40,209,477) = ( 65 × 40 × 209 × 477 ) / 5

LCM(65,40,209,477) = 259201800 / 5

LCM(65,40,209,477) = 51840360


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 2/65, 73/40, 69/209, 288/477

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 2/65, 73/40, 69/209, 288/477?

Answer: GCF of Numerators as per given numbers 2/65, 73/40, 69/209, 288/477 is

GCF of Numerators i.e. for 2,73,69,288 is 1

LCM of denominators i.e. for 65,40,209,477 is 51840360.

Thus, GCF of Fractions is 1/51840360.Finally, GCF of Fractions for 2/65, 73/40, 69/209, 288/477 is 1/51840360.