Greatest Common Factor of 71/144, 1443/4563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/144, 1443/4563

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 71/144,1443/4563

Given fractions are 71/144,1443/4563

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 71,1443

Greatest Common Factor of Numerators i.e. GCF of 71,1443 is 1 .

LCM of Denominators means LCM of 144,4563 as per the given fractions.

LCM of 144,4563 is 73008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,1443

GCF of Fractions 71/144,1443/4563 is 1/73008

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

Greatest Common Factor of 71,1443 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,1443 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 1443

List of positive integer factors of 1443 that divides 1443 without a remainder.

1,3,13,37,39,111,481,1443

Greatest Common Factor

We found the factors 71,1443 . The biggest common factor number is the GCF number.
So the greatest common factor 71,1443 is 1.

Lets's calculate LCM of 144,4563

3 144, 4563
3 48, 1521
16, 507

∴ So the LCM of the given numbers is 3 x 3 x 16 x 507 = 73008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73008

Therefore, the GCF of Fractions 71/144,1443/4563 is 1/73008

Least Common Multiple of 144,4563 with GCF Formula

Least Common Multiple of 144,4563 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 144,4563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,4563) = 9

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

GCF(144,4563) x common factors =9 x 1 = 9

LCM(144,4563) = ( 144 × 4563 ) / 9

LCM(144,4563) = 657072 / 9

LCM(144,4563) = 73008


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 71/144, 1443/4563

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 71/144, 1443/4563?

Answer: GCF of Numerators as per given numbers 71/144, 1443/4563 is

GCF of Numerators i.e. for 71,1443 is 1

LCM of denominators i.e. for 144,4563 is 73008.

Thus, GCF of Fractions is 1/73008.Finally, GCF of Fractions for 71/144, 1443/4563 is 1/73008.