Greatest Common Factor of 894/764, 8793/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/764, 8793/231

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 894/764,8793/231

Given fractions are 894/764,8793/231

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 894,8793

Greatest Common Factor of Numerators i.e. GCF of 894,8793 is 3 .

LCM of Denominators means LCM of 764,231 as per the given fractions.

LCM of 764,231 is 176484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,8793

GCF of Fractions 894/764,8793/231 is 3/176484

3 894, 8793
298, 2931

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

Greatest Common Factor of 894,8793 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,8793 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 8793

List of positive integer factors of 8793 that divides 8793 without a remainder.

1,3,9,977,2931,8793

Greatest Common Factor

We found the factors 894,8793 . The biggest common factor number is the GCF number.
So the greatest common factor 894,8793 is 3.

Lets's calculate LCM of 764,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 176484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/176484

Therefore, the GCF of Fractions 894/764,8793/231 is 3/176484

Least Common Multiple of 764,231 with GCF Formula

Least Common Multiple of 764,231 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 764,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,231) = 1

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

GCF(764,231) x common factors =1 x 1 = 1

LCM(764,231) = ( 764 × 231 ) / 1

LCM(764,231) = 176484 / 1

LCM(764,231) = 176484


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 894/764, 8793/231

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 894/764, 8793/231?

Answer: GCF of Numerators as per given numbers 894/764, 8793/231 is

GCF of Numerators i.e. for 894,8793 is 3

LCM of denominators i.e. for 764,231 is 176484.

Thus, GCF of Fractions is 3/176484.Finally, GCF of Fractions for 894/764, 8793/231 is 3/176484.