Greatest Common Factor of 5674/524, 8323/4615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5674/524, 8323/4615

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 5674/524,8323/4615

Given fractions are 5674/524,8323/4615

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 5674,8323

Greatest Common Factor of Numerators i.e. GCF of 5674,8323 is 1 .

LCM of Denominators means LCM of 524,4615 as per the given fractions.

LCM of 524,4615 is 2418260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5674,8323

GCF of Fractions 5674/524,8323/4615 is 1/2418260

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

Greatest Common Factor of 5674,8323 By Matching Biggest Common Factor Method

Greatest Common Factor of 5674,8323 By Matching Biggest Common Factor Method

Factors of 5674

List of positive integer factors of 5674 that divides 5674 without a remainder.

1,2,2837,5674

Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1,7,29,41,203,287,1189,8323

Greatest Common Factor

We found the factors 5674,8323 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,8323 is 1.

Lets's calculate LCM of 524,4615

Given numbers has no common factors except 1. So, there LCM is their product i.e 2418260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2418260

Therefore, the GCF of Fractions 5674/524,8323/4615 is 1/2418260

Least Common Multiple of 524,4615 with GCF Formula

Least Common Multiple of 524,4615 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 524,4615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,4615) = 1

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

GCF(524,4615) x common factors =1 x 1 = 1

LCM(524,4615) = ( 524 × 4615 ) / 1

LCM(524,4615) = 2418260 / 1

LCM(524,4615) = 2418260


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 5674/524, 8323/4615

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 5674/524, 8323/4615?

Answer: GCF of Numerators as per given numbers 5674/524, 8323/4615 is

GCF of Numerators i.e. for 5674,8323 is 1

LCM of denominators i.e. for 524,4615 is 2418260.

Thus, GCF of Fractions is 1/2418260.Finally, GCF of Fractions for 5674/524, 8323/4615 is 1/2418260.