Greatest Common Factor of 4666/780, 8394/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4666/780, 8394/821

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 4666/780,8394/821

Given fractions are 4666/780,8394/821

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 4666,8394

Greatest Common Factor of Numerators i.e. GCF of 4666,8394 is 2 .

LCM of Denominators means LCM of 780,821 as per the given fractions.

LCM of 780,821 is 640380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4666,8394

GCF of Fractions 4666/780,8394/821 is 2/640380

2 4666, 8394
2333, 4197

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4666,8394 By Matching Biggest Common Factor Method

Greatest Common Factor of 4666,8394 By Matching Biggest Common Factor Method

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1,2,2333,4666

Factors of 8394

List of positive integer factors of 8394 that divides 8394 without a remainder.

1,2,3,6,1399,2798,4197,8394

Greatest Common Factor

We found the factors 4666,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 4666,8394 is 2.

Lets's calculate LCM of 780,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 640380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/640380

Therefore, the GCF of Fractions 4666/780,8394/821 is 2/640380

Least Common Multiple of 780,821 with GCF Formula

Least Common Multiple of 780,821 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 780,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,821) = 1

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

GCF(780,821) x common factors =1 x 1 = 1

LCM(780,821) = ( 780 × 821 ) / 1

LCM(780,821) = 640380 / 1

LCM(780,821) = 640380


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 4666/780, 8394/821

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 4666/780, 8394/821?

Answer: GCF of Numerators as per given numbers 4666/780, 8394/821 is

GCF of Numerators i.e. for 4666,8394 is 2

LCM of denominators i.e. for 780,821 is 640380.

Thus, GCF of Fractions is 2/640380.Finally, GCF of Fractions for 4666/780, 8394/821 is 2/640380.