Greatest Common Factor of 8022/83, 2367/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8022/83, 2367/584

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 8022/83,2367/584

Given fractions are 8022/83,2367/584

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 8022,2367

Greatest Common Factor of Numerators i.e. GCF of 8022,2367 is 3 .

LCM of Denominators means LCM of 83,584 as per the given fractions.

LCM of 83,584 is 48472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8022,2367

GCF of Fractions 8022/83,2367/584 is 3/48472

3 8022, 2367
2674, 789

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

Greatest Common Factor of 8022,2367 By Matching Biggest Common Factor Method

Greatest Common Factor of 8022,2367 By Matching Biggest Common Factor Method

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1,3,9,263,789,2367

Greatest Common Factor

We found the factors 8022,2367 . The biggest common factor number is the GCF number.
So the greatest common factor 8022,2367 is 3.

Lets's calculate LCM of 83,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 48472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48472

Therefore, the GCF of Fractions 8022/83,2367/584 is 3/48472

Least Common Multiple of 83,584 with GCF Formula

Least Common Multiple of 83,584 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 83,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,584) = 1

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

GCF(83,584) x common factors =1 x 1 = 1

LCM(83,584) = ( 83 × 584 ) / 1

LCM(83,584) = 48472 / 1

LCM(83,584) = 48472


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 8022/83, 2367/584

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 8022/83, 2367/584?

Answer: GCF of Numerators as per given numbers 8022/83, 2367/584 is

GCF of Numerators i.e. for 8022,2367 is 3

LCM of denominators i.e. for 83,584 is 48472.

Thus, GCF of Fractions is 3/48472.Finally, GCF of Fractions for 8022/83, 2367/584 is 3/48472.