Greatest Common Factor of 223/72, 687/12, 643/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/72, 687/12, 643/219

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 223/72,687/12,643/219

Given fractions are 223/72,687/12,643/219

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 223,687,643

Greatest Common Factor of Numerators i.e. GCF of 223,687,643 is 1 .

LCM of Denominators means LCM of 72,12,219 as per the given fractions.

LCM of 72,12,219 is 5256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,687,643

GCF of Fractions 223/72,687/12,643/219 is 1/5256

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

Greatest Common Factor of 223,687,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,687,643 By Matching Biggest Common Factor Method

Factors of 223

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

1,223

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 223,687,643 . The biggest common factor number is the GCF number.
So the greatest common factor 223,687,643 is 1.

Lets's calculate LCM of 72,12,219

2 72, 12, 219
2 36, 6, 219
3 18, 3, 219
6, 1, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 1 x 73 = 5256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5256

Therefore, the GCF of Fractions 223/72,687/12,643/219 is 1/5256

Least Common Multiple of 72,12,219 with GCF Formula

Least Common Multiple of 72,12,219 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 72,12,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,12,219) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(72,12,219) x common factors =3 x 12 = 36

LCM(72,12,219) = ( 72 × 12 × 219 ) / 36

LCM(72,12,219) = 189216 / 36

LCM(72,12,219) = 5256


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 223/72, 687/12, 643/219

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 223/72, 687/12, 643/219?

Answer: GCF of Numerators as per given numbers 223/72, 687/12, 643/219 is

GCF of Numerators i.e. for 223,687,643 is 1

LCM of denominators i.e. for 72,12,219 is 5256.

Thus, GCF of Fractions is 1/5256.Finally, GCF of Fractions for 223/72, 687/12, 643/219 is 1/5256.