Greatest Common Factor of 3300/994, 4428/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3300/994, 4428/646

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 3300/994,4428/646

Given fractions are 3300/994,4428/646

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 3300,4428

Greatest Common Factor of Numerators i.e. GCF of 3300,4428 is 12 .

LCM of Denominators means LCM of 994,646 as per the given fractions.

LCM of 994,646 is 321062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3300,4428

GCF of Fractions 3300/994,4428/646 is 12/321062

2 3300, 4428
2 1650, 2214
3 825, 1107
275, 369

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 3300,4428 By Matching Biggest Common Factor Method

Greatest Common Factor of 3300,4428 By Matching Biggest Common Factor Method

Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428

Greatest Common Factor

We found the factors 3300,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 3300,4428 is 12.

Lets's calculate LCM of 994,646

2 994, 646
497, 323

∴ So the LCM of the given numbers is 2 x 497 x 323 = 321062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/321062

Therefore, the GCF of Fractions 3300/994,4428/646 is 12/321062

Least Common Multiple of 994,646 with GCF Formula

Least Common Multiple of 994,646 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 994,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,646) = 2

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

GCF(994,646) x common factors =2 x 1 = 2

LCM(994,646) = ( 994 × 646 ) / 2

LCM(994,646) = 642124 / 2

LCM(994,646) = 321062


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 3300/994, 4428/646

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 3300/994, 4428/646?

Answer: GCF of Numerators as per given numbers 3300/994, 4428/646 is

GCF of Numerators i.e. for 3300,4428 is 12

LCM of denominators i.e. for 994,646 is 321062.

Thus, GCF of Fractions is 12/321062.Finally, GCF of Fractions for 3300/994, 4428/646 is 12/321062.