Greatest Common Factor of 330/401, 630/468, 774/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 330/401, 630/468, 774/912

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 330/401,630/468,774/912

Given fractions are 330/401,630/468,774/912

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 330,630,774

Greatest Common Factor of Numerators i.e. GCF of 330,630,774 is 6 .

LCM of Denominators means LCM of 401,468,912 as per the given fractions.

LCM of 401,468,912 is 14262768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 330,630,774

GCF of Fractions 330/401,630/468,774/912 is 6/14262768

2 330, 630, 774
3 165, 315, 387
55, 105, 129

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 330,630,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,630,774 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 330,630,774 . The biggest common factor number is the GCF number.
So the greatest common factor 330,630,774 is 6.

Lets's calculate LCM of 401,468,912

2 401, 468, 912
2 401, 234, 456
3 401, 117, 228
401, 39, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 401 x 39 x 76 = 14262768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14262768

Therefore, the GCF of Fractions 330/401,630/468,774/912 is 6/14262768

Least Common Multiple of 401,468,912 with GCF Formula

Least Common Multiple of 401,468,912 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 401,468,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,468,912) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(401,468,912) x common factors =1 x 12 = 12

LCM(401,468,912) = ( 401 × 468 × 912 ) / 12

LCM(401,468,912) = 171153216 / 12

LCM(401,468,912) = 14262768


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 330/401, 630/468, 774/912

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 330/401, 630/468, 774/912?

Answer: GCF of Numerators as per given numbers 330/401, 630/468, 774/912 is

GCF of Numerators i.e. for 330,630,774 is 6

LCM of denominators i.e. for 401,468,912 is 14262768.

Thus, GCF of Fractions is 6/14262768.Finally, GCF of Fractions for 330/401, 630/468, 774/912 is 6/14262768.