Greatest Common Factor of 3731/567, 8642/7303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3731/567, 8642/7303

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 3731/567,8642/7303

Given fractions are 3731/567,8642/7303

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 3731,8642

Greatest Common Factor of Numerators i.e. GCF of 3731,8642 is 1 .

LCM of Denominators means LCM of 567,7303 as per the given fractions.

LCM of 567,7303 is 4140801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3731,8642

GCF of Fractions 3731/567,8642/7303 is 1/4140801

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

Greatest Common Factor of 3731,8642 By Matching Biggest Common Factor Method

Greatest Common Factor of 3731,8642 By Matching Biggest Common Factor Method

Factors of 3731

List of positive integer factors of 3731 that divides 3731 without a remainder.

1,7,13,41,91,287,533,3731

Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1,2,29,58,149,298,4321,8642

Greatest Common Factor

We found the factors 3731,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 3731,8642 is 1.

Lets's calculate LCM of 567,7303

Given numbers has no common factors except 1. So, there LCM is their product i.e 4140801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4140801

Therefore, the GCF of Fractions 3731/567,8642/7303 is 1/4140801

Least Common Multiple of 567,7303 with GCF Formula

Least Common Multiple of 567,7303 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 567,7303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,7303) = 1

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

GCF(567,7303) x common factors =1 x 1 = 1

LCM(567,7303) = ( 567 × 7303 ) / 1

LCM(567,7303) = 4140801 / 1

LCM(567,7303) = 4140801


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 3731/567, 8642/7303

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 3731/567, 8642/7303?

Answer: GCF of Numerators as per given numbers 3731/567, 8642/7303 is

GCF of Numerators i.e. for 3731,8642 is 1

LCM of denominators i.e. for 567,7303 is 4140801.

Thus, GCF of Fractions is 1/4140801.Finally, GCF of Fractions for 3731/567, 8642/7303 is 1/4140801.