Greatest Common Factor of 659/5843, 405/2968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/5843, 405/2968

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 659/5843,405/2968

Given fractions are 659/5843,405/2968

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 659,405

Greatest Common Factor of Numerators i.e. GCF of 659,405 is 1 .

LCM of Denominators means LCM of 5843,2968 as per the given fractions.

LCM of 5843,2968 is 17342024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,405

GCF of Fractions 659/5843,405/2968 is 1/17342024

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

Greatest Common Factor of 659,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,405 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 659,405 . The biggest common factor number is the GCF number.
So the greatest common factor 659,405 is 1.

Lets's calculate LCM of 5843,2968

Given numbers has no common factors except 1. So, there LCM is their product i.e 17342024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17342024

Therefore, the GCF of Fractions 659/5843,405/2968 is 1/17342024

Least Common Multiple of 5843,2968 with GCF Formula

Least Common Multiple of 5843,2968 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 5843,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5843,2968) = 1

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

GCF(5843,2968) x common factors =1 x 1 = 1

LCM(5843,2968) = ( 5843 × 2968 ) / 1

LCM(5843,2968) = 17342024 / 1

LCM(5843,2968) = 17342024


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 659/5843, 405/2968

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 659/5843, 405/2968?

Answer: GCF of Numerators as per given numbers 659/5843, 405/2968 is

GCF of Numerators i.e. for 659,405 is 1

LCM of denominators i.e. for 5843,2968 is 17342024.

Thus, GCF of Fractions is 1/17342024.Finally, GCF of Fractions for 659/5843, 405/2968 is 1/17342024.