Greatest Common Factor of 412/866, 4782/3437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 412/866, 4782/3437

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 412/866,4782/3437

Given fractions are 412/866,4782/3437

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 412,4782

Greatest Common Factor of Numerators i.e. GCF of 412,4782 is 2 .

LCM of Denominators means LCM of 866,3437 as per the given fractions.

LCM of 866,3437 is 2976442 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 412,4782

GCF of Fractions 412/866,4782/3437 is 2/2976442

2 412, 4782
206, 2391

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

Greatest Common Factor of 412,4782 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,4782 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1,2,3,6,797,1594,2391,4782

Greatest Common Factor

We found the factors 412,4782 . The biggest common factor number is the GCF number.
So the greatest common factor 412,4782 is 2.

Lets's calculate LCM of 866,3437

Given numbers has no common factors except 1. So, there LCM is their product i.e 2976442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2976442

Therefore, the GCF of Fractions 412/866,4782/3437 is 2/2976442

Least Common Multiple of 866,3437 with GCF Formula

Least Common Multiple of 866,3437 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 866,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,3437) = 1

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

GCF(866,3437) x common factors =1 x 1 = 1

LCM(866,3437) = ( 866 × 3437 ) / 1

LCM(866,3437) = 2976442 / 1

LCM(866,3437) = 2976442


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 412/866, 4782/3437

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 412/866, 4782/3437?

Answer: GCF of Numerators as per given numbers 412/866, 4782/3437 is

GCF of Numerators i.e. for 412,4782 is 2

LCM of denominators i.e. for 866,3437 is 2976442.

Thus, GCF of Fractions is 2/2976442.Finally, GCF of Fractions for 412/866, 4782/3437 is 2/2976442.