Greatest Common Factor of 13/428, 403/904, 256/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/428, 403/904, 256/531

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 13/428,403/904,256/531

Given fractions are 13/428,403/904,256/531

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 13,403,256

Greatest Common Factor of Numerators i.e. GCF of 13,403,256 is 1 .

LCM of Denominators means LCM of 428,904,531 as per the given fractions.

LCM of 428,904,531 is 51362568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,403,256

GCF of Fractions 13/428,403/904,256/531 is 1/51362568

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

Greatest Common Factor of 13,403,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,403,256 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 13,403,256 . The biggest common factor number is the GCF number.
So the greatest common factor 13,403,256 is 1.

Lets's calculate LCM of 428,904,531

2 428, 904, 531
2 214, 452, 531
107, 226, 531

∴ So the LCM of the given numbers is 2 x 2 x 107 x 226 x 531 = 51362568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51362568

Therefore, the GCF of Fractions 13/428,403/904,256/531 is 1/51362568

Least Common Multiple of 428,904,531 with GCF Formula

Least Common Multiple of 428,904,531 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 428,904,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,904,531) = 1

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

GCF(428,904,531) x common factors =1 x 4 = 4

LCM(428,904,531) = ( 428 × 904 × 531 ) / 4

LCM(428,904,531) = 205450272 / 4

LCM(428,904,531) = 51362568


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 13/428, 403/904, 256/531

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 13/428, 403/904, 256/531?

Answer: GCF of Numerators as per given numbers 13/428, 403/904, 256/531 is

GCF of Numerators i.e. for 13,403,256 is 1

LCM of denominators i.e. for 428,904,531 is 51362568.

Thus, GCF of Fractions is 1/51362568.Finally, GCF of Fractions for 13/428, 403/904, 256/531 is 1/51362568.