Greatest Common Factor of 5789/138, 3416/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5789/138, 3416/666

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 5789/138,3416/666

Given fractions are 5789/138,3416/666

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 5789,3416

Greatest Common Factor of Numerators i.e. GCF of 5789,3416 is 7 .

LCM of Denominators means LCM of 138,666 as per the given fractions.

LCM of 138,666 is 15318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5789,3416

GCF of Fractions 5789/138,3416/666 is 7/15318

7 5789, 3416
827, 488

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5789,3416 By Matching Biggest Common Factor Method

Greatest Common Factor of 5789,3416 By Matching Biggest Common Factor Method

Factors of 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Greatest Common Factor

We found the factors 5789,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 5789,3416 is 7.

Lets's calculate LCM of 138,666

2 138, 666
3 69, 333
23, 111

∴ So the LCM of the given numbers is 2 x 3 x 23 x 111 = 15318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15318

Therefore, the GCF of Fractions 5789/138,3416/666 is 7/15318

Least Common Multiple of 138,666 with GCF Formula

Least Common Multiple of 138,666 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 138,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,666) = 6

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

GCF(138,666) x common factors =6 x 1 = 6

LCM(138,666) = ( 138 × 666 ) / 6

LCM(138,666) = 91908 / 6

LCM(138,666) = 15318


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 5789/138, 3416/666

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 5789/138, 3416/666?

Answer: GCF of Numerators as per given numbers 5789/138, 3416/666 is

GCF of Numerators i.e. for 5789,3416 is 7

LCM of denominators i.e. for 138,666 is 15318.

Thus, GCF of Fractions is 7/15318.Finally, GCF of Fractions for 5789/138, 3416/666 is 7/15318.