Greatest Common Factor of 99/699, 858/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/699, 858/788

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 99/699,858/788

Given fractions are 99/699,858/788

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 99,858

Greatest Common Factor of Numerators i.e. GCF of 99,858 is 33 .

LCM of Denominators means LCM of 699,788 as per the given fractions.

LCM of 699,788 is 550812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,858

GCF of Fractions 99/699,858/788 is 33/550812

3 99, 858
11 33, 286
3, 26

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 99,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,858 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

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

Greatest Common Factor

We found the factors 99,858 . The biggest common factor number is the GCF number.
So the greatest common factor 99,858 is 33.

Lets's calculate LCM of 699,788

Given numbers has no common factors except 1. So, there LCM is their product i.e 550812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/550812

Therefore, the GCF of Fractions 99/699,858/788 is 33/550812

Least Common Multiple of 699,788 with GCF Formula

Least Common Multiple of 699,788 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 699,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,788) = 1

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

GCF(699,788) x common factors =1 x 1 = 1

LCM(699,788) = ( 699 × 788 ) / 1

LCM(699,788) = 550812 / 1

LCM(699,788) = 550812


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 99/699, 858/788

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 99/699, 858/788?

Answer: GCF of Numerators as per given numbers 99/699, 858/788 is

GCF of Numerators i.e. for 99,858 is 33

LCM of denominators i.e. for 699,788 is 550812.

Thus, GCF of Fractions is 33/550812.Finally, GCF of Fractions for 99/699, 858/788 is 33/550812.