Greatest Common Factor of 38/527, 579/400, 797/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/527, 579/400, 797/366

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 38/527,579/400,797/366

Given fractions are 38/527,579/400,797/366

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 38,579,797

Greatest Common Factor of Numerators i.e. GCF of 38,579,797 is 1 .

LCM of Denominators means LCM of 527,400,366 as per the given fractions.

LCM of 527,400,366 is 38576400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,579,797

GCF of Fractions 38/527,579/400,797/366 is 1/38576400

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

Greatest Common Factor of 38,579,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,579,797 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 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 38,579,797 . The biggest common factor number is the GCF number.
So the greatest common factor 38,579,797 is 1.

Lets's calculate LCM of 527,400,366

2 527, 400, 366
527, 200, 183

∴ So the LCM of the given numbers is 2 x 527 x 200 x 183 = 38576400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38576400

Therefore, the GCF of Fractions 38/527,579/400,797/366 is 1/38576400

Least Common Multiple of 527,400,366 with GCF Formula

Least Common Multiple of 527,400,366 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 527,400,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,400,366) = 1

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

GCF(527,400,366) x common factors =1 x 2 = 2

LCM(527,400,366) = ( 527 × 400 × 366 ) / 2

LCM(527,400,366) = 77152800 / 2

LCM(527,400,366) = 38576400


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 38/527, 579/400, 797/366

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 38/527, 579/400, 797/366?

Answer: GCF of Numerators as per given numbers 38/527, 579/400, 797/366 is

GCF of Numerators i.e. for 38,579,797 is 1

LCM of denominators i.e. for 527,400,366 is 38576400.

Thus, GCF of Fractions is 1/38576400.Finally, GCF of Fractions for 38/527, 579/400, 797/366 is 1/38576400.