Greatest Common Factor of 15/208, 393/626, 498/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/208, 393/626, 498/433

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 15/208,393/626,498/433

Given fractions are 15/208,393/626,498/433

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 15,393,498

Greatest Common Factor of Numerators i.e. GCF of 15,393,498 is 3 .

LCM of Denominators means LCM of 208,626,433 as per the given fractions.

LCM of 208,626,433 is 28190032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,393,498

GCF of Fractions 15/208,393/626,498/433 is 3/28190032

3 15, 393, 498
5, 131, 166

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 15,393,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,393,498 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 15,393,498 . The biggest common factor number is the GCF number.
So the greatest common factor 15,393,498 is 3.

Lets's calculate LCM of 208,626,433

2 208, 626, 433
104, 313, 433

∴ So the LCM of the given numbers is 2 x 104 x 313 x 433 = 28190032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28190032

Therefore, the GCF of Fractions 15/208,393/626,498/433 is 3/28190032

Least Common Multiple of 208,626,433 with GCF Formula

Least Common Multiple of 208,626,433 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 208,626,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,626,433) = 1

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

GCF(208,626,433) x common factors =1 x 2 = 2

LCM(208,626,433) = ( 208 × 626 × 433 ) / 2

LCM(208,626,433) = 56380064 / 2

LCM(208,626,433) = 28190032


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 15/208, 393/626, 498/433

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 15/208, 393/626, 498/433?

Answer: GCF of Numerators as per given numbers 15/208, 393/626, 498/433 is

GCF of Numerators i.e. for 15,393,498 is 3

LCM of denominators i.e. for 208,626,433 is 28190032.

Thus, GCF of Fractions is 3/28190032.Finally, GCF of Fractions for 15/208, 393/626, 498/433 is 3/28190032.