Greatest Common Factor of 6084/401, 6008/8626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6084/401, 6008/8626

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 6084/401,6008/8626

Given fractions are 6084/401,6008/8626

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 6084,6008

Greatest Common Factor of Numerators i.e. GCF of 6084,6008 is 4 .

LCM of Denominators means LCM of 401,8626 as per the given fractions.

LCM of 401,8626 is 3459026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6084,6008

GCF of Fractions 6084/401,6008/8626 is 4/3459026

2 6084, 6008
2 3042, 3004
1521, 1502

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6084,6008 By Matching Biggest Common Factor Method

Greatest Common Factor of 6084,6008 By Matching Biggest Common Factor Method

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084

Factors of 6008

List of positive integer factors of 6008 that divides 6008 without a remainder.

1,2,4,8,751,1502,3004,6008

Greatest Common Factor

We found the factors 6084,6008 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,6008 is 4.

Lets's calculate LCM of 401,8626

Given numbers has no common factors except 1. So, there LCM is their product i.e 3459026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3459026

Therefore, the GCF of Fractions 6084/401,6008/8626 is 4/3459026

Least Common Multiple of 401,8626 with GCF Formula

Least Common Multiple of 401,8626 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 401,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,8626) = 1

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

GCF(401,8626) x common factors =1 x 1 = 1

LCM(401,8626) = ( 401 × 8626 ) / 1

LCM(401,8626) = 3459026 / 1

LCM(401,8626) = 3459026


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 6084/401, 6008/8626

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 6084/401, 6008/8626?

Answer: GCF of Numerators as per given numbers 6084/401, 6008/8626 is

GCF of Numerators i.e. for 6084,6008 is 4

LCM of denominators i.e. for 401,8626 is 3459026.

Thus, GCF of Fractions is 4/3459026.Finally, GCF of Fractions for 6084/401, 6008/8626 is 4/3459026.