Greatest Common Factor of 14/45, 337/21, 809/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/45, 337/21, 809/640

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 14/45,337/21,809/640

Given fractions are 14/45,337/21,809/640

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 14,337,809

Greatest Common Factor of Numerators i.e. GCF of 14,337,809 is 1 .

LCM of Denominators means LCM of 45,21,640 as per the given fractions.

LCM of 45,21,640 is 40320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,337,809

GCF of Fractions 14/45,337/21,809/640 is 1/40320

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

Greatest Common Factor of 14,337,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,337,809 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 14,337,809 . The biggest common factor number is the GCF number.
So the greatest common factor 14,337,809 is 1.

Lets's calculate LCM of 45,21,640

3 45, 21, 640
5 15, 7, 640
3, 7, 128

∴ So the LCM of the given numbers is 3 x 5 x 3 x 7 x 128 = 40320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40320

Therefore, the GCF of Fractions 14/45,337/21,809/640 is 1/40320

Least Common Multiple of 45,21,640 with GCF Formula

Least Common Multiple of 45,21,640 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 45,21,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,21,640) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,21,640) x common factors =1 x 15 = 15

LCM(45,21,640) = ( 45 × 21 × 640 ) / 15

LCM(45,21,640) = 604800 / 15

LCM(45,21,640) = 40320


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 14/45, 337/21, 809/640

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 14/45, 337/21, 809/640?

Answer: GCF of Numerators as per given numbers 14/45, 337/21, 809/640 is

GCF of Numerators i.e. for 14,337,809 is 1

LCM of denominators i.e. for 45,21,640 is 40320.

Thus, GCF of Fractions is 1/40320.Finally, GCF of Fractions for 14/45, 337/21, 809/640 is 1/40320.