Greatest Common Factor of 6009/545, 2982/5793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6009/545, 2982/5793

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 6009/545,2982/5793

Given fractions are 6009/545,2982/5793

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 6009,2982

Greatest Common Factor of Numerators i.e. GCF of 6009,2982 is 3 .

LCM of Denominators means LCM of 545,5793 as per the given fractions.

LCM of 545,5793 is 3157185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6009,2982

GCF of Fractions 6009/545,2982/5793 is 3/3157185

3 6009, 2982
2003, 994

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

Greatest Common Factor of 6009,2982 By Matching Biggest Common Factor Method

Greatest Common Factor of 6009,2982 By Matching Biggest Common Factor Method

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982

Greatest Common Factor

We found the factors 6009,2982 . The biggest common factor number is the GCF number.
So the greatest common factor 6009,2982 is 3.

Lets's calculate LCM of 545,5793

Given numbers has no common factors except 1. So, there LCM is their product i.e 3157185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3157185

Therefore, the GCF of Fractions 6009/545,2982/5793 is 3/3157185

Least Common Multiple of 545,5793 with GCF Formula

Least Common Multiple of 545,5793 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 545,5793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,5793) = 1

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

GCF(545,5793) x common factors =1 x 1 = 1

LCM(545,5793) = ( 545 × 5793 ) / 1

LCM(545,5793) = 3157185 / 1

LCM(545,5793) = 3157185


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 6009/545, 2982/5793

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 6009/545, 2982/5793?

Answer: GCF of Numerators as per given numbers 6009/545, 2982/5793 is

GCF of Numerators i.e. for 6009,2982 is 3

LCM of denominators i.e. for 545,5793 is 3157185.

Thus, GCF of Fractions is 3/3157185.Finally, GCF of Fractions for 6009/545, 2982/5793 is 3/3157185.