Greatest Common Factor of 7047/54, 6006/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7047/54, 6006/916

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 7047/54,6006/916

Given fractions are 7047/54,6006/916

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 7047,6006

Greatest Common Factor of Numerators i.e. GCF of 7047,6006 is 3 .

LCM of Denominators means LCM of 54,916 as per the given fractions.

LCM of 54,916 is 24732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7047,6006

GCF of Fractions 7047/54,6006/916 is 3/24732

3 7047, 6006
2349, 2002

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

Greatest Common Factor of 7047,6006 By Matching Biggest Common Factor Method

Greatest Common Factor of 7047,6006 By Matching Biggest Common Factor Method

Factors of 7047

List of positive integer factors of 7047 that divides 7047 without a remainder.

1,3,9,27,29,81,87,243,261,783,2349,7047

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors 7047,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 7047,6006 is 3.

Lets's calculate LCM of 54,916

2 54, 916
27, 458

∴ So the LCM of the given numbers is 2 x 27 x 458 = 24732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24732

Therefore, the GCF of Fractions 7047/54,6006/916 is 3/24732

Least Common Multiple of 54,916 with GCF Formula

Least Common Multiple of 54,916 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 54,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,916) = 2

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

GCF(54,916) x common factors =2 x 1 = 2

LCM(54,916) = ( 54 × 916 ) / 2

LCM(54,916) = 49464 / 2

LCM(54,916) = 24732


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 7047/54, 6006/916

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 7047/54, 6006/916?

Answer: GCF of Numerators as per given numbers 7047/54, 6006/916 is

GCF of Numerators i.e. for 7047,6006 is 3

LCM of denominators i.e. for 54,916 is 24732.

Thus, GCF of Fractions is 3/24732.Finally, GCF of Fractions for 7047/54, 6006/916 is 3/24732.