Greatest Common Factor of 4523/338, 4266/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4523/338, 4266/512

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 4523/338,4266/512

Given fractions are 4523/338,4266/512

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 4523,4266

Greatest Common Factor of Numerators i.e. GCF of 4523,4266 is 1 .

LCM of Denominators means LCM of 338,512 as per the given fractions.

LCM of 338,512 is 86528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4523,4266

GCF of Fractions 4523/338,4266/512 is 1/86528

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

Greatest Common Factor of 4523,4266 By Matching Biggest Common Factor Method

Greatest Common Factor of 4523,4266 By Matching Biggest Common Factor Method

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1,4523

Factors of 4266

List of positive integer factors of 4266 that divides 4266 without a remainder.

1,2,3,6,9,18,27,54,79,158,237,474,711,1422,2133,4266

Greatest Common Factor

We found the factors 4523,4266 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,4266 is 1.

Lets's calculate LCM of 338,512

2 338, 512
169, 256

∴ So the LCM of the given numbers is 2 x 169 x 256 = 86528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86528

Therefore, the GCF of Fractions 4523/338,4266/512 is 1/86528

Least Common Multiple of 338,512 with GCF Formula

Least Common Multiple of 338,512 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 338,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,512) = 2

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

GCF(338,512) x common factors =2 x 1 = 2

LCM(338,512) = ( 338 × 512 ) / 2

LCM(338,512) = 173056 / 2

LCM(338,512) = 86528


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 4523/338, 4266/512

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 4523/338, 4266/512?

Answer: GCF of Numerators as per given numbers 4523/338, 4266/512 is

GCF of Numerators i.e. for 4523,4266 is 1

LCM of denominators i.e. for 338,512 is 86528.

Thus, GCF of Fractions is 1/86528.Finally, GCF of Fractions for 4523/338, 4266/512 is 1/86528.