Greatest Common Factor of 21/775, 729/734, 996/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/775, 729/734, 996/210

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 21/775,729/734,996/210

Given fractions are 21/775,729/734,996/210

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 21,729,996

Greatest Common Factor of Numerators i.e. GCF of 21,729,996 is 3 .

LCM of Denominators means LCM of 775,734,210 as per the given fractions.

LCM of 775,734,210 is 11945850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,729,996

GCF of Fractions 21/775,729/734,996/210 is 3/11945850

3 21, 729, 996
7, 243, 332

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

Greatest Common Factor of 21,729,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,729,996 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 21,729,996 . The biggest common factor number is the GCF number.
So the greatest common factor 21,729,996 is 3.

Lets's calculate LCM of 775,734,210

2 775, 734, 210
5 775, 367, 105
155, 367, 21

∴ So the LCM of the given numbers is 2 x 5 x 155 x 367 x 21 = 11945850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11945850

Therefore, the GCF of Fractions 21/775,729/734,996/210 is 3/11945850

Least Common Multiple of 775,734,210 with GCF Formula

Least Common Multiple of 775,734,210 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 775,734,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,734,210) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(775,734,210) x common factors =1 x 10 = 10

LCM(775,734,210) = ( 775 × 734 × 210 ) / 10

LCM(775,734,210) = 119458500 / 10

LCM(775,734,210) = 11945850


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 21/775, 729/734, 996/210

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 21/775, 729/734, 996/210?

Answer: GCF of Numerators as per given numbers 21/775, 729/734, 996/210 is

GCF of Numerators i.e. for 21,729,996 is 3

LCM of denominators i.e. for 775,734,210 is 11945850.

Thus, GCF of Fractions is 3/11945850.Finally, GCF of Fractions for 21/775, 729/734, 996/210 is 3/11945850.