Greatest Common Factor of 4907/33, 7866/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4907/33, 7866/399

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 4907/33,7866/399

Given fractions are 4907/33,7866/399

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 4907,7866

Greatest Common Factor of Numerators i.e. GCF of 4907,7866 is 1 .

LCM of Denominators means LCM of 33,399 as per the given fractions.

LCM of 33,399 is 4389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4907,7866

GCF of Fractions 4907/33,7866/399 is 1/4389

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4907,7866 By Matching Biggest Common Factor Method

Greatest Common Factor of 4907,7866 By Matching Biggest Common Factor Method

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1,7,701,4907

Factors of 7866

List of positive integer factors of 7866 that divides 7866 without a remainder.

1,2,3,6,9,18,19,23,38,46,57,69,114,138,171,207,342,414,437,874,1311,2622,3933,7866

Greatest Common Factor

We found the factors 4907,7866 . The biggest common factor number is the GCF number.
So the greatest common factor 4907,7866 is 1.

Lets's calculate LCM of 33,399

3 33, 399
11, 133

∴ So the LCM of the given numbers is 3 x 11 x 133 = 4389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4389

Therefore, the GCF of Fractions 4907/33,7866/399 is 1/4389

Least Common Multiple of 33,399 with GCF Formula

Least Common Multiple of 33,399 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 33,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,399) = 3

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

GCF(33,399) x common factors =3 x 1 = 3

LCM(33,399) = ( 33 × 399 ) / 3

LCM(33,399) = 13167 / 3

LCM(33,399) = 4389


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 4907/33, 7866/399

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 4907/33, 7866/399?

Answer: GCF of Numerators as per given numbers 4907/33, 7866/399 is

GCF of Numerators i.e. for 4907,7866 is 1

LCM of denominators i.e. for 33,399 is 4389.

Thus, GCF of Fractions is 1/4389.Finally, GCF of Fractions for 4907/33, 7866/399 is 1/4389.