Greatest Common Factor of 264/40, 586/19, 253/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 264/40, 586/19, 253/594

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 264/40,586/19,253/594

Given fractions are 264/40,586/19,253/594

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 264,586,253

Greatest Common Factor of Numerators i.e. GCF of 264,586,253 is 1 .

LCM of Denominators means LCM of 40,19,594 as per the given fractions.

LCM of 40,19,594 is 225720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 264,586,253

GCF of Fractions 264/40,586/19,253/594 is 1/225720

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

Greatest Common Factor of 264,586,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,586,253 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 264,586,253 . The biggest common factor number is the GCF number.
So the greatest common factor 264,586,253 is 1.

Lets's calculate LCM of 40,19,594

2 40, 19, 594
20, 19, 297

∴ So the LCM of the given numbers is 2 x 20 x 19 x 297 = 225720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225720

Therefore, the GCF of Fractions 264/40,586/19,253/594 is 1/225720

Least Common Multiple of 40,19,594 with GCF Formula

Least Common Multiple of 40,19,594 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 40,19,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,19,594) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,19,594) x common factors =1 x 2 = 2

LCM(40,19,594) = ( 40 × 19 × 594 ) / 2

LCM(40,19,594) = 451440 / 2

LCM(40,19,594) = 225720


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 264/40, 586/19, 253/594

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 264/40, 586/19, 253/594?

Answer: GCF of Numerators as per given numbers 264/40, 586/19, 253/594 is

GCF of Numerators i.e. for 264,586,253 is 1

LCM of denominators i.e. for 40,19,594 is 225720.

Thus, GCF of Fractions is 1/225720.Finally, GCF of Fractions for 264/40, 586/19, 253/594 is 1/225720.