Greatest Common Factor of 8241/462, 8155/7433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8241/462, 8155/7433

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 8241/462,8155/7433

Given fractions are 8241/462,8155/7433

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 8241,8155

Greatest Common Factor of Numerators i.e. GCF of 8241,8155 is 1 .

LCM of Denominators means LCM of 462,7433 as per the given fractions.

LCM of 462,7433 is 3434046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8241,8155

GCF of Fractions 8241/462,8155/7433 is 1/3434046

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

Greatest Common Factor of 8241,8155 By Matching Biggest Common Factor Method

Greatest Common Factor of 8241,8155 By Matching Biggest Common Factor Method

Factors of 8241

List of positive integer factors of 8241 that divides 8241 without a remainder.

1,3,41,67,123,201,2747,8241

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1,5,7,35,233,1165,1631,8155

Greatest Common Factor

We found the factors 8241,8155 . The biggest common factor number is the GCF number.
So the greatest common factor 8241,8155 is 1.

Lets's calculate LCM of 462,7433

Given numbers has no common factors except 1. So, there LCM is their product i.e 3434046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3434046

Therefore, the GCF of Fractions 8241/462,8155/7433 is 1/3434046

Least Common Multiple of 462,7433 with GCF Formula

Least Common Multiple of 462,7433 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 462,7433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,7433) = 1

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

GCF(462,7433) x common factors =1 x 1 = 1

LCM(462,7433) = ( 462 × 7433 ) / 1

LCM(462,7433) = 3434046 / 1

LCM(462,7433) = 3434046


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 8241/462, 8155/7433

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 8241/462, 8155/7433?

Answer: GCF of Numerators as per given numbers 8241/462, 8155/7433 is

GCF of Numerators i.e. for 8241,8155 is 1

LCM of denominators i.e. for 462,7433 is 3434046.

Thus, GCF of Fractions is 1/3434046.Finally, GCF of Fractions for 8241/462, 8155/7433 is 1/3434046.