Greatest Common Factor of 216/99, 210/32, 777/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/99, 210/32, 777/998

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 216/99,210/32,777/998

Given fractions are 216/99,210/32,777/998

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 216,210,777

Greatest Common Factor of Numerators i.e. GCF of 216,210,777 is 3 .

LCM of Denominators means LCM of 99,32,998 as per the given fractions.

LCM of 99,32,998 is 1580832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,210,777

GCF of Fractions 216/99,210/32,777/998 is 3/1580832

3 216, 210, 777
72, 70, 259

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

Greatest Common Factor of 216,210,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,210,777 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 216,210,777 . The biggest common factor number is the GCF number.
So the greatest common factor 216,210,777 is 3.

Lets's calculate LCM of 99,32,998

2 99, 32, 998
99, 16, 499

∴ So the LCM of the given numbers is 2 x 99 x 16 x 499 = 1580832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1580832

Therefore, the GCF of Fractions 216/99,210/32,777/998 is 3/1580832

Least Common Multiple of 99,32,998 with GCF Formula

Least Common Multiple of 99,32,998 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 99,32,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,32,998) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(99,32,998) x common factors =1 x 2 = 2

LCM(99,32,998) = ( 99 × 32 × 998 ) / 2

LCM(99,32,998) = 3161664 / 2

LCM(99,32,998) = 1580832


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 216/99, 210/32, 777/998

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 216/99, 210/32, 777/998?

Answer: GCF of Numerators as per given numbers 216/99, 210/32, 777/998 is

GCF of Numerators i.e. for 216,210,777 is 3

LCM of denominators i.e. for 99,32,998 is 1580832.

Thus, GCF of Fractions is 3/1580832.Finally, GCF of Fractions for 216/99, 210/32, 777/998 is 3/1580832.