Greatest Common Factor of 640/5023, 576/4189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/5023, 576/4189

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 640/5023,576/4189

Given fractions are 640/5023,576/4189

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 640,576

Greatest Common Factor of Numerators i.e. GCF of 640,576 is 64 .

LCM of Denominators means LCM of 5023,4189 as per the given fractions.

LCM of 5023,4189 is 21041347 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,576

GCF of Fractions 640/5023,576/4189 is 64/21041347

2 640, 576
2 320, 288
2 160, 144
2 80, 72
2 40, 36
2 20, 18
10, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64

Greatest Common Factor of 640,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,576 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 640,576 . The biggest common factor number is the GCF number.
So the greatest common factor 640,576 is 64.

Lets's calculate LCM of 5023,4189

Given numbers has no common factors except 1. So, there LCM is their product i.e 21041347

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/21041347

Therefore, the GCF of Fractions 640/5023,576/4189 is 64/21041347

Least Common Multiple of 5023,4189 with GCF Formula

Least Common Multiple of 5023,4189 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 5023,4189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5023,4189) = 1

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

GCF(5023,4189) x common factors =1 x 1 = 1

LCM(5023,4189) = ( 5023 × 4189 ) / 1

LCM(5023,4189) = 21041347 / 1

LCM(5023,4189) = 21041347


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 640/5023, 576/4189

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 640/5023, 576/4189?

Answer: GCF of Numerators as per given numbers 640/5023, 576/4189 is

GCF of Numerators i.e. for 640,576 is 64

LCM of denominators i.e. for 5023,4189 is 21041347.

Thus, GCF of Fractions is 64/21041347.Finally, GCF of Fractions for 640/5023, 576/4189 is 64/21041347.