Greatest Common Factor of 6354/673, 2005/3004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6354/673, 2005/3004

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 6354/673,2005/3004

Given fractions are 6354/673,2005/3004

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 6354,2005

Greatest Common Factor of Numerators i.e. GCF of 6354,2005 is 1 .

LCM of Denominators means LCM of 673,3004 as per the given fractions.

LCM of 673,3004 is 2021692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6354,2005

GCF of Fractions 6354/673,2005/3004 is 1/2021692

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

Greatest Common Factor of 6354,2005 By Matching Biggest Common Factor Method

Greatest Common Factor of 6354,2005 By Matching Biggest Common Factor Method

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Factors of 2005

List of positive integer factors of 2005 that divides 2005 without a remainder.

1,5,401,2005

Greatest Common Factor

We found the factors 6354,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,2005 is 1.

Lets's calculate LCM of 673,3004

Given numbers has no common factors except 1. So, there LCM is their product i.e 2021692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2021692

Therefore, the GCF of Fractions 6354/673,2005/3004 is 1/2021692

Least Common Multiple of 673,3004 with GCF Formula

Least Common Multiple of 673,3004 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 673,3004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,3004) = 1

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

GCF(673,3004) x common factors =1 x 1 = 1

LCM(673,3004) = ( 673 × 3004 ) / 1

LCM(673,3004) = 2021692 / 1

LCM(673,3004) = 2021692


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 6354/673, 2005/3004

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 6354/673, 2005/3004?

Answer: GCF of Numerators as per given numbers 6354/673, 2005/3004 is

GCF of Numerators i.e. for 6354,2005 is 1

LCM of denominators i.e. for 673,3004 is 2021692.

Thus, GCF of Fractions is 1/2021692.Finally, GCF of Fractions for 6354/673, 2005/3004 is 1/2021692.