Greatest Common Factor of 52/40, 299/10, 468/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/40, 299/10, 468/588

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 52/40,299/10,468/588

Given fractions are 52/40,299/10,468/588

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 52,299,468

Greatest Common Factor of Numerators i.e. GCF of 52,299,468 is 13 .

LCM of Denominators means LCM of 40,10,588 as per the given fractions.

LCM of 40,10,588 is 5880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,299,468

GCF of Fractions 52/40,299/10,468/588 is 13/5880

13 52, 299, 468
4, 23, 36

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 52,299,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,299,468 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 52,299,468 . The biggest common factor number is the GCF number.
So the greatest common factor 52,299,468 is 13.

Lets's calculate LCM of 40,10,588

2 40, 10, 588
2 20, 5, 294
5 10, 5, 147
2, 1, 147

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 1 x 147 = 5880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5880

Therefore, the GCF of Fractions 52/40,299/10,468/588 is 13/5880

Least Common Multiple of 40,10,588 with GCF Formula

Least Common Multiple of 40,10,588 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 40,10,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,10,588) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(40,10,588) x common factors =2 x 20 = 40

LCM(40,10,588) = ( 40 × 10 × 588 ) / 40

LCM(40,10,588) = 235200 / 40

LCM(40,10,588) = 5880


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 52/40, 299/10, 468/588

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 52/40, 299/10, 468/588?

Answer: GCF of Numerators as per given numbers 52/40, 299/10, 468/588 is

GCF of Numerators i.e. for 52,299,468 is 13

LCM of denominators i.e. for 40,10,588 is 5880.

Thus, GCF of Fractions is 13/5880.Finally, GCF of Fractions for 52/40, 299/10, 468/588 is 13/5880.