Greatest Common Factor of 4539/143, 2533/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4539/143, 2533/704

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 4539/143,2533/704

Given fractions are 4539/143,2533/704

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 4539,2533

Greatest Common Factor of Numerators i.e. GCF of 4539,2533 is 17 .

LCM of Denominators means LCM of 143,704 as per the given fractions.

LCM of 143,704 is 9152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4539,2533

GCF of Fractions 4539/143,2533/704 is 17/9152

17 4539, 2533
267, 149

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 4539,2533 By Matching Biggest Common Factor Method

Greatest Common Factor of 4539,2533 By Matching Biggest Common Factor Method

Factors of 4539

List of positive integer factors of 4539 that divides 4539 without a remainder.

1,3,17,51,89,267,1513,4539

Factors of 2533

List of positive integer factors of 2533 that divides 2533 without a remainder.

1,17,149,2533

Greatest Common Factor

We found the factors 4539,2533 . The biggest common factor number is the GCF number.
So the greatest common factor 4539,2533 is 17.

Lets's calculate LCM of 143,704

11 143, 704
13, 64

∴ So the LCM of the given numbers is 11 x 13 x 64 = 9152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/9152

Therefore, the GCF of Fractions 4539/143,2533/704 is 17/9152

Least Common Multiple of 143,704 with GCF Formula

Least Common Multiple of 143,704 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 143,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,704) = 11

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

GCF(143,704) x common factors =11 x 1 = 11

LCM(143,704) = ( 143 × 704 ) / 11

LCM(143,704) = 100672 / 11

LCM(143,704) = 9152


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 4539/143, 2533/704

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 4539/143, 2533/704?

Answer: GCF of Numerators as per given numbers 4539/143, 2533/704 is

GCF of Numerators i.e. for 4539,2533 is 17

LCM of denominators i.e. for 143,704 is 9152.

Thus, GCF of Fractions is 17/9152.Finally, GCF of Fractions for 4539/143, 2533/704 is 17/9152.