Greatest Common Factor of 849/16, 7989/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 849/16, 7989/667

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 849/16,7989/667

Given fractions are 849/16,7989/667

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 849,7989

Greatest Common Factor of Numerators i.e. GCF of 849,7989 is 3 .

LCM of Denominators means LCM of 16,667 as per the given fractions.

LCM of 16,667 is 10672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 849,7989

GCF of Fractions 849/16,7989/667 is 3/10672

3 849, 7989
283, 2663

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

Greatest Common Factor of 849,7989 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,7989 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1,3,2663,7989

Greatest Common Factor

We found the factors 849,7989 . The biggest common factor number is the GCF number.
So the greatest common factor 849,7989 is 3.

Lets's calculate LCM of 16,667

Given numbers has no common factors except 1. So, there LCM is their product i.e 10672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10672

Therefore, the GCF of Fractions 849/16,7989/667 is 3/10672

Least Common Multiple of 16,667 with GCF Formula

Least Common Multiple of 16,667 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 16,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,667) = 1

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

GCF(16,667) x common factors =1 x 1 = 1

LCM(16,667) = ( 16 × 667 ) / 1

LCM(16,667) = 10672 / 1

LCM(16,667) = 10672


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 849/16, 7989/667

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 849/16, 7989/667?

Answer: GCF of Numerators as per given numbers 849/16, 7989/667 is

GCF of Numerators i.e. for 849,7989 is 3

LCM of denominators i.e. for 16,667 is 10672.

Thus, GCF of Fractions is 3/10672.Finally, GCF of Fractions for 849/16, 7989/667 is 3/10672.