Greatest Common Factor of 590/72, 640/9013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 590/72, 640/9013

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 590/72,640/9013

Given fractions are 590/72,640/9013

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 590,640

Greatest Common Factor of Numerators i.e. GCF of 590,640 is 10 .

LCM of Denominators means LCM of 72,9013 as per the given fractions.

LCM of 72,9013 is 648936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 590,640

GCF of Fractions 590/72,640/9013 is 10/648936

2 590, 640
5 295, 320
59, 64

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 590,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,640 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

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

Greatest Common Factor

We found the factors 590,640 . The biggest common factor number is the GCF number.
So the greatest common factor 590,640 is 10.

Lets's calculate LCM of 72,9013

Given numbers has no common factors except 1. So, there LCM is their product i.e 648936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/648936

Therefore, the GCF of Fractions 590/72,640/9013 is 10/648936

Least Common Multiple of 72,9013 with GCF Formula

Least Common Multiple of 72,9013 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 72,9013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,9013) = 1

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

GCF(72,9013) x common factors =1 x 1 = 1

LCM(72,9013) = ( 72 × 9013 ) / 1

LCM(72,9013) = 648936 / 1

LCM(72,9013) = 648936


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 590/72, 640/9013

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 590/72, 640/9013?

Answer: GCF of Numerators as per given numbers 590/72, 640/9013 is

GCF of Numerators i.e. for 590,640 is 10

LCM of denominators i.e. for 72,9013 is 648936.

Thus, GCF of Fractions is 10/648936.Finally, GCF of Fractions for 590/72, 640/9013 is 10/648936.