Greatest Common Factor of 441/31, 223/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 441/31, 223/687

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 441/31,223/687

Given fractions are 441/31,223/687

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 441,223

Greatest Common Factor of Numerators i.e. GCF of 441,223 is 1 .

LCM of Denominators means LCM of 31,687 as per the given fractions.

LCM of 31,687 is 21297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 441,223

GCF of Fractions 441/31,223/687 is 1/21297

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

Greatest Common Factor of 441,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,223 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 441,223 . The biggest common factor number is the GCF number.
So the greatest common factor 441,223 is 1.

Lets's calculate LCM of 31,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 21297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21297

Therefore, the GCF of Fractions 441/31,223/687 is 1/21297

Least Common Multiple of 31,687 with GCF Formula

Least Common Multiple of 31,687 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 31,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,687) = 1

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

GCF(31,687) x common factors =1 x 1 = 1

LCM(31,687) = ( 31 × 687 ) / 1

LCM(31,687) = 21297 / 1

LCM(31,687) = 21297


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 441/31, 223/687

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 441/31, 223/687?

Answer: GCF of Numerators as per given numbers 441/31, 223/687 is

GCF of Numerators i.e. for 441,223 is 1

LCM of denominators i.e. for 31,687 is 21297.

Thus, GCF of Fractions is 1/21297.Finally, GCF of Fractions for 441/31, 223/687 is 1/21297.