Greatest Common Factor of 413/23, 1279/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/23, 1279/512

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 413/23,1279/512

Given fractions are 413/23,1279/512

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 413,1279

Greatest Common Factor of Numerators i.e. GCF of 413,1279 is 1 .

LCM of Denominators means LCM of 23,512 as per the given fractions.

LCM of 23,512 is 11776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,1279

GCF of Fractions 413/23,1279/512 is 1/11776

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

Greatest Common Factor of 413,1279 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,1279 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 1279

List of positive integer factors of 1279 that divides 1279 without a remainder.

1,1279

Greatest Common Factor

We found the factors 413,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 413,1279 is 1.

Lets's calculate LCM of 23,512

Given numbers has no common factors except 1. So, there LCM is their product i.e 11776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11776

Therefore, the GCF of Fractions 413/23,1279/512 is 1/11776

Least Common Multiple of 23,512 with GCF Formula

Least Common Multiple of 23,512 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 23,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,512) = 1

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

GCF(23,512) x common factors =1 x 1 = 1

LCM(23,512) = ( 23 × 512 ) / 1

LCM(23,512) = 11776 / 1

LCM(23,512) = 11776


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 413/23, 1279/512

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 413/23, 1279/512?

Answer: GCF of Numerators as per given numbers 413/23, 1279/512 is

GCF of Numerators i.e. for 413,1279 is 1

LCM of denominators i.e. for 23,512 is 11776.

Thus, GCF of Fractions is 1/11776.Finally, GCF of Fractions for 413/23, 1279/512 is 1/11776.