Greatest Common Factor of 5731/41, 8242/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5731/41, 8242/597

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 5731/41,8242/597

Given fractions are 5731/41,8242/597

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 5731,8242

Greatest Common Factor of Numerators i.e. GCF of 5731,8242 is 1 .

LCM of Denominators means LCM of 41,597 as per the given fractions.

LCM of 41,597 is 24477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5731,8242

GCF of Fractions 5731/41,8242/597 is 1/24477

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

Greatest Common Factor of 5731,8242 By Matching Biggest Common Factor Method

Greatest Common Factor of 5731,8242 By Matching Biggest Common Factor Method

Factors of 5731

List of positive integer factors of 5731 that divides 5731 without a remainder.

1,11,521,5731

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1,2,13,26,317,634,4121,8242

Greatest Common Factor

We found the factors 5731,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 5731,8242 is 1.

Lets's calculate LCM of 41,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 24477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24477

Therefore, the GCF of Fractions 5731/41,8242/597 is 1/24477

Least Common Multiple of 41,597 with GCF Formula

Least Common Multiple of 41,597 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 41,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,597) = 1

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

GCF(41,597) x common factors =1 x 1 = 1

LCM(41,597) = ( 41 × 597 ) / 1

LCM(41,597) = 24477 / 1

LCM(41,597) = 24477


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 5731/41, 8242/597

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 5731/41, 8242/597?

Answer: GCF of Numerators as per given numbers 5731/41, 8242/597 is

GCF of Numerators i.e. for 5731,8242 is 1

LCM of denominators i.e. for 41,597 is 24477.

Thus, GCF of Fractions is 1/24477.Finally, GCF of Fractions for 5731/41, 8242/597 is 1/24477.