Greatest Common Factor of 581/82, 9801/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/82, 9801/258

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 581/82,9801/258

Given fractions are 581/82,9801/258

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 581,9801

Greatest Common Factor of Numerators i.e. GCF of 581,9801 is 1 .

LCM of Denominators means LCM of 82,258 as per the given fractions.

LCM of 82,258 is 10578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,9801

GCF of Fractions 581/82,9801/258 is 1/10578

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

Greatest Common Factor of 581,9801 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,9801 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801

Greatest Common Factor

We found the factors 581,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 581,9801 is 1.

Lets's calculate LCM of 82,258

2 82, 258
41, 129

∴ So the LCM of the given numbers is 2 x 41 x 129 = 10578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10578

Therefore, the GCF of Fractions 581/82,9801/258 is 1/10578

Least Common Multiple of 82,258 with GCF Formula

Least Common Multiple of 82,258 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 82,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,258) = 2

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

GCF(82,258) x common factors =2 x 1 = 2

LCM(82,258) = ( 82 × 258 ) / 2

LCM(82,258) = 21156 / 2

LCM(82,258) = 10578


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 581/82, 9801/258

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 581/82, 9801/258?

Answer: GCF of Numerators as per given numbers 581/82, 9801/258 is

GCF of Numerators i.e. for 581,9801 is 1

LCM of denominators i.e. for 82,258 is 10578.

Thus, GCF of Fractions is 1/10578.Finally, GCF of Fractions for 581/82, 9801/258 is 1/10578.