Greatest Common Factor of 38/83, 12/229, 326/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/83, 12/229, 326/512

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 38/83,12/229,326/512

Given fractions are 38/83,12/229,326/512

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 38,12,326

Greatest Common Factor of Numerators i.e. GCF of 38,12,326 is 2 .

LCM of Denominators means LCM of 83,229,512 as per the given fractions.

LCM of 83,229,512 is 9731584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,12,326

GCF of Fractions 38/83,12/229,326/512 is 2/9731584

2 38, 12, 326
19, 6, 163

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,12,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,12,326 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 38,12,326 . The biggest common factor number is the GCF number.
So the greatest common factor 38,12,326 is 2.

Lets's calculate LCM of 83,229,512

Given numbers has no common factors except 1. So, there LCM is their product i.e 9731584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9731584

Therefore, the GCF of Fractions 38/83,12/229,326/512 is 2/9731584

Least Common Multiple of 83,229,512 with GCF Formula

Least Common Multiple of 83,229,512 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 83,229,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,229,512) = 1

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

GCF(83,229,512) x common factors =1 x 1 = 1

LCM(83,229,512) = ( 83 × 229 × 512 ) / 1

LCM(83,229,512) = 9731584 / 1

LCM(83,229,512) = 9731584


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 38/83, 12/229, 326/512

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 38/83, 12/229, 326/512?

Answer: GCF of Numerators as per given numbers 38/83, 12/229, 326/512 is

GCF of Numerators i.e. for 38,12,326 is 2

LCM of denominators i.e. for 83,229,512 is 9731584.

Thus, GCF of Fractions is 2/9731584.Finally, GCF of Fractions for 38/83, 12/229, 326/512 is 2/9731584.