Greatest Common Factor of 3339/496, 9150/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3339/496, 9150/294

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 3339/496,9150/294

Given fractions are 3339/496,9150/294

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 3339,9150

Greatest Common Factor of Numerators i.e. GCF of 3339,9150 is 3 .

LCM of Denominators means LCM of 496,294 as per the given fractions.

LCM of 496,294 is 72912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3339,9150

GCF of Fractions 3339/496,9150/294 is 3/72912

3 3339, 9150
1113, 3050

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

Greatest Common Factor of 3339,9150 By Matching Biggest Common Factor Method

Greatest Common Factor of 3339,9150 By Matching Biggest Common Factor Method

Factors of 3339

List of positive integer factors of 3339 that divides 3339 without a remainder.

1,3,7,9,21,53,63,159,371,477,1113,3339

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 3339,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 3339,9150 is 3.

Lets's calculate LCM of 496,294

2 496, 294
248, 147

∴ So the LCM of the given numbers is 2 x 248 x 147 = 72912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72912

Therefore, the GCF of Fractions 3339/496,9150/294 is 3/72912

Least Common Multiple of 496,294 with GCF Formula

Least Common Multiple of 496,294 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 496,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,294) = 2

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

GCF(496,294) x common factors =2 x 1 = 2

LCM(496,294) = ( 496 × 294 ) / 2

LCM(496,294) = 145824 / 2

LCM(496,294) = 72912


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 3339/496, 9150/294

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 3339/496, 9150/294?

Answer: GCF of Numerators as per given numbers 3339/496, 9150/294 is

GCF of Numerators i.e. for 3339,9150 is 3

LCM of denominators i.e. for 496,294 is 72912.

Thus, GCF of Fractions is 3/72912.Finally, GCF of Fractions for 3339/496, 9150/294 is 3/72912.