Greatest Common Factor of 512/22, 229/18, 566/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 512/22, 229/18, 566/862

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 512/22,229/18,566/862

Given fractions are 512/22,229/18,566/862

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 512,229,566

Greatest Common Factor of Numerators i.e. GCF of 512,229,566 is 1 .

LCM of Denominators means LCM of 22,18,862 as per the given fractions.

LCM of 22,18,862 is 85338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 512,229,566

GCF of Fractions 512/22,229/18,566/862 is 1/85338

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

Greatest Common Factor of 512,229,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,229,566 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 512,229,566 . The biggest common factor number is the GCF number.
So the greatest common factor 512,229,566 is 1.

Lets's calculate LCM of 22,18,862

2 22, 18, 862
11, 9, 431

∴ So the LCM of the given numbers is 2 x 11 x 9 x 431 = 85338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85338

Therefore, the GCF of Fractions 512/22,229/18,566/862 is 1/85338

Least Common Multiple of 22,18,862 with GCF Formula

Least Common Multiple of 22,18,862 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 22,18,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,18,862) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(22,18,862) x common factors =2 x 2 = 4

LCM(22,18,862) = ( 22 × 18 × 862 ) / 4

LCM(22,18,862) = 341352 / 4

LCM(22,18,862) = 85338


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 512/22, 229/18, 566/862

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 512/22, 229/18, 566/862?

Answer: GCF of Numerators as per given numbers 512/22, 229/18, 566/862 is

GCF of Numerators i.e. for 512,229,566 is 1

LCM of denominators i.e. for 22,18,862 is 85338.

Thus, GCF of Fractions is 1/85338.Finally, GCF of Fractions for 512/22, 229/18, 566/862 is 1/85338.