Greatest Common Factor of 2193/73, 6876/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2193/73, 6876/977

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 2193/73,6876/977

Given fractions are 2193/73,6876/977

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 2193,6876

Greatest Common Factor of Numerators i.e. GCF of 2193,6876 is 3 .

LCM of Denominators means LCM of 73,977 as per the given fractions.

LCM of 73,977 is 71321 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2193,6876

GCF of Fractions 2193/73,6876/977 is 3/71321

3 2193, 6876
731, 2292

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

Greatest Common Factor of 2193,6876 By Matching Biggest Common Factor Method

Greatest Common Factor of 2193,6876 By Matching Biggest Common Factor Method

Factors of 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1,3,17,43,51,129,731,2193

Factors of 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Greatest Common Factor

We found the factors 2193,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 2193,6876 is 3.

Lets's calculate LCM of 73,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 71321

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71321

Therefore, the GCF of Fractions 2193/73,6876/977 is 3/71321

Least Common Multiple of 73,977 with GCF Formula

Least Common Multiple of 73,977 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 73,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,977) = 1

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

GCF(73,977) x common factors =1 x 1 = 1

LCM(73,977) = ( 73 × 977 ) / 1

LCM(73,977) = 71321 / 1

LCM(73,977) = 71321


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 2193/73, 6876/977

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 2193/73, 6876/977?

Answer: GCF of Numerators as per given numbers 2193/73, 6876/977 is

GCF of Numerators i.e. for 2193,6876 is 3

LCM of denominators i.e. for 73,977 is 71321.

Thus, GCF of Fractions is 3/71321.Finally, GCF of Fractions for 2193/73, 6876/977 is 3/71321.