Greatest Common Factor of 219/12, 449/22, 345/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 219/12, 449/22, 345/65

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 219/12,449/22,345/65

Given fractions are 219/12,449/22,345/65

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 219,449,345

Greatest Common Factor of Numerators i.e. GCF of 219,449,345 is 1 .

LCM of Denominators means LCM of 12,22,65 as per the given fractions.

LCM of 12,22,65 is 8580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 219,449,345

GCF of Fractions 219/12,449/22,345/65 is 1/8580

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

Greatest Common Factor of 219,449,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,449,345 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 219,449,345 . The biggest common factor number is the GCF number.
So the greatest common factor 219,449,345 is 1.

Lets's calculate LCM of 12,22,65

2 12, 22, 65
6, 11, 65

∴ So the LCM of the given numbers is 2 x 6 x 11 x 65 = 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8580

Therefore, the GCF of Fractions 219/12,449/22,345/65 is 1/8580

Least Common Multiple of 12,22,65 with GCF Formula

Least Common Multiple of 12,22,65 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 12,22,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,22,65) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,22,65) x common factors =1 x 2 = 2

LCM(12,22,65) = ( 12 × 22 × 65 ) / 2

LCM(12,22,65) = 17160 / 2

LCM(12,22,65) = 8580


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 219/12, 449/22, 345/65

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 219/12, 449/22, 345/65?

Answer: GCF of Numerators as per given numbers 219/12, 449/22, 345/65 is

GCF of Numerators i.e. for 219,449,345 is 1

LCM of denominators i.e. for 12,22,65 is 8580.

Thus, GCF of Fractions is 1/8580.Finally, GCF of Fractions for 219/12, 449/22, 345/65 is 1/8580.