Greatest Common Factor of 4681/731, 5918/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4681/731, 5918/404

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 4681/731,5918/404

Given fractions are 4681/731,5918/404

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 4681,5918

Greatest Common Factor of Numerators i.e. GCF of 4681,5918 is 1 .

LCM of Denominators means LCM of 731,404 as per the given fractions.

LCM of 731,404 is 295324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4681,5918

GCF of Fractions 4681/731,5918/404 is 1/295324

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

Greatest Common Factor of 4681,5918 By Matching Biggest Common Factor Method

Greatest Common Factor of 4681,5918 By Matching Biggest Common Factor Method

Factors of 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1,31,151,4681

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Greatest Common Factor

We found the factors 4681,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 4681,5918 is 1.

Lets's calculate LCM of 731,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 295324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295324

Therefore, the GCF of Fractions 4681/731,5918/404 is 1/295324

Least Common Multiple of 731,404 with GCF Formula

Least Common Multiple of 731,404 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 731,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,404) = 1

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

GCF(731,404) x common factors =1 x 1 = 1

LCM(731,404) = ( 731 × 404 ) / 1

LCM(731,404) = 295324 / 1

LCM(731,404) = 295324


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 4681/731, 5918/404

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 4681/731, 5918/404?

Answer: GCF of Numerators as per given numbers 4681/731, 5918/404 is

GCF of Numerators i.e. for 4681,5918 is 1

LCM of denominators i.e. for 731,404 is 295324.

Thus, GCF of Fractions is 1/295324.Finally, GCF of Fractions for 4681/731, 5918/404 is 1/295324.