Greatest Common Factor of 469/12, 223/38, 789/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/12, 223/38, 789/590

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 469/12,223/38,789/590

Given fractions are 469/12,223/38,789/590

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 469,223,789

Greatest Common Factor of Numerators i.e. GCF of 469,223,789 is 1 .

LCM of Denominators means LCM of 12,38,590 as per the given fractions.

LCM of 12,38,590 is 67260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,223,789

GCF of Fractions 469/12,223/38,789/590 is 1/67260

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

Greatest Common Factor of 469,223,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,223,789 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 223

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

1,223

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 469,223,789 . The biggest common factor number is the GCF number.
So the greatest common factor 469,223,789 is 1.

Lets's calculate LCM of 12,38,590

2 12, 38, 590
6, 19, 295

∴ So the LCM of the given numbers is 2 x 6 x 19 x 295 = 67260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67260

Therefore, the GCF of Fractions 469/12,223/38,789/590 is 1/67260

Least Common Multiple of 12,38,590 with GCF Formula

Least Common Multiple of 12,38,590 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 12,38,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,38,590) = 2

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

GCF(12,38,590) x common factors =2 x 2 = 4

LCM(12,38,590) = ( 12 × 38 × 590 ) / 4

LCM(12,38,590) = 269040 / 4

LCM(12,38,590) = 67260


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 469/12, 223/38, 789/590

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 469/12, 223/38, 789/590?

Answer: GCF of Numerators as per given numbers 469/12, 223/38, 789/590 is

GCF of Numerators i.e. for 469,223,789 is 1

LCM of denominators i.e. for 12,38,590 is 67260.

Thus, GCF of Fractions is 1/67260.Finally, GCF of Fractions for 469/12, 223/38, 789/590 is 1/67260.