Greatest Common Factor of 320/20, 592/52, 269/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/20, 592/52, 269/886

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 320/20,592/52,269/886

Given fractions are 320/20,592/52,269/886

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 320,592,269

Greatest Common Factor of Numerators i.e. GCF of 320,592,269 is 1 .

LCM of Denominators means LCM of 20,52,886 as per the given fractions.

LCM of 20,52,886 is 115180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,592,269

GCF of Fractions 320/20,592/52,269/886 is 1/115180

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

Greatest Common Factor of 320,592,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,592,269 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

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

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 320,592,269 . The biggest common factor number is the GCF number.
So the greatest common factor 320,592,269 is 1.

Lets's calculate LCM of 20,52,886

2 20, 52, 886
2 10, 26, 443
5, 13, 443

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 443 = 115180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115180

Therefore, the GCF of Fractions 320/20,592/52,269/886 is 1/115180

Least Common Multiple of 20,52,886 with GCF Formula

Least Common Multiple of 20,52,886 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 20,52,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,52,886) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,52,886) x common factors =2 x 4 = 8

LCM(20,52,886) = ( 20 × 52 × 886 ) / 8

LCM(20,52,886) = 921440 / 8

LCM(20,52,886) = 115180


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 320/20, 592/52, 269/886

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 320/20, 592/52, 269/886?

Answer: GCF of Numerators as per given numbers 320/20, 592/52, 269/886 is

GCF of Numerators i.e. for 320,592,269 is 1

LCM of denominators i.e. for 20,52,886 is 115180.

Thus, GCF of Fractions is 1/115180.Finally, GCF of Fractions for 320/20, 592/52, 269/886 is 1/115180.