Greatest Common Factor of 8052/891, 2004/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8052/891, 2004/621

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 8052/891,2004/621

Given fractions are 8052/891,2004/621

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 8052,2004

Greatest Common Factor of Numerators i.e. GCF of 8052,2004 is 12 .

LCM of Denominators means LCM of 891,621 as per the given fractions.

LCM of 891,621 is 20493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8052,2004

GCF of Fractions 8052/891,2004/621 is 12/20493

2 8052, 2004
2 4026, 1002
3 2013, 501
671, 167

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

Greatest Common Factor of 8052,2004 By Matching Biggest Common Factor Method

Greatest Common Factor of 8052,2004 By Matching Biggest Common Factor Method

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

Factors of 2004

List of positive integer factors of 2004 that divides 2004 without a remainder.

1,2,3,4,6,12,167,334,501,668,1002,2004

Greatest Common Factor

We found the factors 8052,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 8052,2004 is 12.

Lets's calculate LCM of 891,621

3 891, 621
3 297, 207
3 99, 69
33, 23

∴ So the LCM of the given numbers is 3 x 3 x 3 x 33 x 23 = 20493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/20493

Therefore, the GCF of Fractions 8052/891,2004/621 is 12/20493

Least Common Multiple of 891,621 with GCF Formula

Least Common Multiple of 891,621 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 891,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,621) = 27

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

GCF(891,621) x common factors =27 x 1 = 27

LCM(891,621) = ( 891 × 621 ) / 27

LCM(891,621) = 553311 / 27

LCM(891,621) = 20493


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 8052/891, 2004/621

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 8052/891, 2004/621?

Answer: GCF of Numerators as per given numbers 8052/891, 2004/621 is

GCF of Numerators i.e. for 8052,2004 is 12

LCM of denominators i.e. for 891,621 is 20493.

Thus, GCF of Fractions is 12/20493.Finally, GCF of Fractions for 8052/891, 2004/621 is 12/20493.