Greatest Common Factor of 581/412, 221/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 581/412, 221/492

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 581/412,221/492

Given fractions are 581/412,221/492

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 581,221

Greatest Common Factor of Numerators i.e. GCF of 581,221 is 1 .

LCM of Denominators means LCM of 412,492 as per the given fractions.

LCM of 412,492 is 50676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 581,221

GCF of Fractions 581/412,221/492 is 1/50676

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

Greatest Common Factor of 581,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,221 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 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 581,221 . The biggest common factor number is the GCF number.
So the greatest common factor 581,221 is 1.

Lets's calculate LCM of 412,492

2 412, 492
2 206, 246
103, 123

∴ So the LCM of the given numbers is 2 x 2 x 103 x 123 = 50676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50676

Therefore, the GCF of Fractions 581/412,221/492 is 1/50676

Least Common Multiple of 412,492 with GCF Formula

Least Common Multiple of 412,492 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 412,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,492) = 4

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

GCF(412,492) x common factors =4 x 1 = 4

LCM(412,492) = ( 412 × 492 ) / 4

LCM(412,492) = 202704 / 4

LCM(412,492) = 50676


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 581/412, 221/492

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 581/412, 221/492?

Answer: GCF of Numerators as per given numbers 581/412, 221/492 is

GCF of Numerators i.e. for 581,221 is 1

LCM of denominators i.e. for 412,492 is 50676.

Thus, GCF of Fractions is 1/50676.Finally, GCF of Fractions for 581/412, 221/492 is 1/50676.