Greatest Common Factor of 4022/706, 1366/6812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4022/706, 1366/6812

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 4022/706,1366/6812

Given fractions are 4022/706,1366/6812

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 4022,1366

Greatest Common Factor of Numerators i.e. GCF of 4022,1366 is 2 .

LCM of Denominators means LCM of 706,6812 as per the given fractions.

LCM of 706,6812 is 2404636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4022,1366

GCF of Fractions 4022/706,1366/6812 is 2/2404636

2 4022, 1366
2011, 683

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

Greatest Common Factor of 4022,1366 By Matching Biggest Common Factor Method

Greatest Common Factor of 4022,1366 By Matching Biggest Common Factor Method

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1,2,2011,4022

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1,2,683,1366

Greatest Common Factor

We found the factors 4022,1366 . The biggest common factor number is the GCF number.
So the greatest common factor 4022,1366 is 2.

Lets's calculate LCM of 706,6812

2 706, 6812
353, 3406

∴ So the LCM of the given numbers is 2 x 353 x 3406 = 2404636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2404636

Therefore, the GCF of Fractions 4022/706,1366/6812 is 2/2404636

Least Common Multiple of 706,6812 with GCF Formula

Least Common Multiple of 706,6812 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 706,6812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,6812) = 2

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

GCF(706,6812) x common factors =2 x 1 = 2

LCM(706,6812) = ( 706 × 6812 ) / 2

LCM(706,6812) = 4809272 / 2

LCM(706,6812) = 2404636


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 4022/706, 1366/6812

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 4022/706, 1366/6812?

Answer: GCF of Numerators as per given numbers 4022/706, 1366/6812 is

GCF of Numerators i.e. for 4022,1366 is 2

LCM of denominators i.e. for 706,6812 is 2404636.

Thus, GCF of Fractions is 2/2404636.Finally, GCF of Fractions for 4022/706, 1366/6812 is 2/2404636.