Greatest Common Factor of 639/912, 903/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 639/912, 903/297

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 639/912,903/297

Given fractions are 639/912,903/297

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 639,903

Greatest Common Factor of Numerators i.e. GCF of 639,903 is 3 .

LCM of Denominators means LCM of 912,297 as per the given fractions.

LCM of 912,297 is 90288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 639,903

GCF of Fractions 639/912,903/297 is 3/90288

3 639, 903
213, 301

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

Greatest Common Factor of 639,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,903 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 639,903 . The biggest common factor number is the GCF number.
So the greatest common factor 639,903 is 3.

Lets's calculate LCM of 912,297

3 912, 297
304, 99

∴ So the LCM of the given numbers is 3 x 304 x 99 = 90288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90288

Therefore, the GCF of Fractions 639/912,903/297 is 3/90288

Least Common Multiple of 912,297 with GCF Formula

Least Common Multiple of 912,297 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 912,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,297) = 3

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

GCF(912,297) x common factors =3 x 1 = 3

LCM(912,297) = ( 912 × 297 ) / 3

LCM(912,297) = 270864 / 3

LCM(912,297) = 90288


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 639/912, 903/297

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 639/912, 903/297?

Answer: GCF of Numerators as per given numbers 639/912, 903/297 is

GCF of Numerators i.e. for 639,903 is 3

LCM of denominators i.e. for 912,297 is 90288.

Thus, GCF of Fractions is 3/90288.Finally, GCF of Fractions for 639/912, 903/297 is 3/90288.