Greatest Common Factor of 5616/806, 6069/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5616/806, 6069/671

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 5616/806,6069/671

Given fractions are 5616/806,6069/671

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 5616,6069

Greatest Common Factor of Numerators i.e. GCF of 5616,6069 is 3 .

LCM of Denominators means LCM of 806,671 as per the given fractions.

LCM of 806,671 is 540826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5616,6069

GCF of Fractions 5616/806,6069/671 is 3/540826

3 5616, 6069
1872, 2023

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

Greatest Common Factor of 5616,6069 By Matching Biggest Common Factor Method

Greatest Common Factor of 5616,6069 By Matching Biggest Common Factor Method

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1,3,7,17,21,51,119,289,357,867,2023,6069

Greatest Common Factor

We found the factors 5616,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 5616,6069 is 3.

Lets's calculate LCM of 806,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 540826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/540826

Therefore, the GCF of Fractions 5616/806,6069/671 is 3/540826

Least Common Multiple of 806,671 with GCF Formula

Least Common Multiple of 806,671 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 806,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(806,671) = 1

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

GCF(806,671) x common factors =1 x 1 = 1

LCM(806,671) = ( 806 × 671 ) / 1

LCM(806,671) = 540826 / 1

LCM(806,671) = 540826


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 5616/806, 6069/671

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 5616/806, 6069/671?

Answer: GCF of Numerators as per given numbers 5616/806, 6069/671 is

GCF of Numerators i.e. for 5616,6069 is 3

LCM of denominators i.e. for 806,671 is 540826.

Thus, GCF of Fractions is 3/540826.Finally, GCF of Fractions for 5616/806, 6069/671 is 3/540826.