Greatest Common Factor of 408/33, 732/8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/33, 732/8004

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 408/33,732/8004

Given fractions are 408/33,732/8004

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 408,732

Greatest Common Factor of Numerators i.e. GCF of 408,732 is 12 .

LCM of Denominators means LCM of 33,8004 as per the given fractions.

LCM of 33,8004 is 88044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,732

GCF of Fractions 408/33,732/8004 is 12/88044

2 408, 732
2 204, 366
3 102, 183
34, 61

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

Greatest Common Factor of 408,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,732 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 408,732 . The biggest common factor number is the GCF number.
So the greatest common factor 408,732 is 12.

Lets's calculate LCM of 33,8004

3 33, 8004
11, 2668

∴ So the LCM of the given numbers is 3 x 11 x 2668 = 88044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/88044

Therefore, the GCF of Fractions 408/33,732/8004 is 12/88044

Least Common Multiple of 33,8004 with GCF Formula

Least Common Multiple of 33,8004 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 33,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,8004) = 3

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

GCF(33,8004) x common factors =3 x 1 = 3

LCM(33,8004) = ( 33 × 8004 ) / 3

LCM(33,8004) = 264132 / 3

LCM(33,8004) = 88044


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 408/33, 732/8004

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 408/33, 732/8004?

Answer: GCF of Numerators as per given numbers 408/33, 732/8004 is

GCF of Numerators i.e. for 408,732 is 12

LCM of denominators i.e. for 33,8004 is 88044.

Thus, GCF of Fractions is 12/88044.Finally, GCF of Fractions for 408/33, 732/8004 is 12/88044.