Greatest Common Factor of 443/17, 4561/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/17, 4561/365

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 443/17,4561/365

Given fractions are 443/17,4561/365

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 443,4561

Greatest Common Factor of Numerators i.e. GCF of 443,4561 is 1 .

LCM of Denominators means LCM of 17,365 as per the given fractions.

LCM of 17,365 is 6205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,4561

GCF of Fractions 443/17,4561/365 is 1/6205

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

Greatest Common Factor of 443,4561 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,4561 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 4561

List of positive integer factors of 4561 that divides 4561 without a remainder.

1,4561

Greatest Common Factor

We found the factors 443,4561 . The biggest common factor number is the GCF number.
So the greatest common factor 443,4561 is 1.

Lets's calculate LCM of 17,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 6205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6205

Therefore, the GCF of Fractions 443/17,4561/365 is 1/6205

Least Common Multiple of 17,365 with GCF Formula

Least Common Multiple of 17,365 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 17,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,365) = 1

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

GCF(17,365) x common factors =1 x 1 = 1

LCM(17,365) = ( 17 × 365 ) / 1

LCM(17,365) = 6205 / 1

LCM(17,365) = 6205


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 443/17, 4561/365

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 443/17, 4561/365?

Answer: GCF of Numerators as per given numbers 443/17, 4561/365 is

GCF of Numerators i.e. for 443,4561 is 1

LCM of denominators i.e. for 17,365 is 6205.

Thus, GCF of Fractions is 1/6205.Finally, GCF of Fractions for 443/17, 4561/365 is 1/6205.