Greatest Common Factor of 816/699, 687/773, 837/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/699, 687/773, 837/177

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 816/699,687/773,837/177

Given fractions are 816/699,687/773,837/177

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 816,687,837

Greatest Common Factor of Numerators i.e. GCF of 816,687,837 is 3 .

LCM of Denominators means LCM of 699,773,177 as per the given fractions.

LCM of 699,773,177 is 31879293 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,687,837

GCF of Fractions 816/699,687/773,837/177 is 3/31879293

3 816, 687, 837
272, 229, 279

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

Greatest Common Factor of 816,687,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,687,837 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 816,687,837 . The biggest common factor number is the GCF number.
So the greatest common factor 816,687,837 is 3.

Lets's calculate LCM of 699,773,177

3 699, 773, 177
233, 773, 59

∴ So the LCM of the given numbers is 3 x 233 x 773 x 59 = 31879293

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31879293

Therefore, the GCF of Fractions 816/699,687/773,837/177 is 3/31879293

Least Common Multiple of 699,773,177 with GCF Formula

Least Common Multiple of 699,773,177 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 699,773,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,773,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(699,773,177) x common factors =1 x 3 = 3

LCM(699,773,177) = ( 699 × 773 × 177 ) / 3

LCM(699,773,177) = 95637879 / 3

LCM(699,773,177) = 31879293


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 816/699, 687/773, 837/177

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 816/699, 687/773, 837/177?

Answer: GCF of Numerators as per given numbers 816/699, 687/773, 837/177 is

GCF of Numerators i.e. for 816,687,837 is 3

LCM of denominators i.e. for 699,773,177 is 31879293.

Thus, GCF of Fractions is 3/31879293.Finally, GCF of Fractions for 816/699, 687/773, 837/177 is 3/31879293.