Greatest Common Factor of 789/83, 858/49, 999/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 789/83, 858/49, 999/87

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 789/83,858/49,999/87

Given fractions are 789/83,858/49,999/87

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 789,858,999

Greatest Common Factor of Numerators i.e. GCF of 789,858,999 is 3 .

LCM of Denominators means LCM of 83,49,87 as per the given fractions.

LCM of 83,49,87 is 353829 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 789,858,999

GCF of Fractions 789/83,858/49,999/87 is 3/353829

3 789, 858, 999
263, 286, 333

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

Greatest Common Factor of 789,858,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,858,999 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 789,858,999 . The biggest common factor number is the GCF number.
So the greatest common factor 789,858,999 is 3.

Lets's calculate LCM of 83,49,87

Given numbers has no common factors except 1. So, there LCM is their product i.e 353829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/353829

Therefore, the GCF of Fractions 789/83,858/49,999/87 is 3/353829

Least Common Multiple of 83,49,87 with GCF Formula

Least Common Multiple of 83,49,87 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 83,49,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,49,87) = 1

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

GCF(83,49,87) x common factors =1 x 1 = 1

LCM(83,49,87) = ( 83 × 49 × 87 ) / 1

LCM(83,49,87) = 353829 / 1

LCM(83,49,87) = 353829


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 789/83, 858/49, 999/87

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 789/83, 858/49, 999/87?

Answer: GCF of Numerators as per given numbers 789/83, 858/49, 999/87 is

GCF of Numerators i.e. for 789,858,999 is 3

LCM of denominators i.e. for 83,49,87 is 353829.

Thus, GCF of Fractions is 3/353829.Finally, GCF of Fractions for 789/83, 858/49, 999/87 is 3/353829.