Greatest Common Factor of 423/15, 810/9311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/15, 810/9311

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 423/15,810/9311

Given fractions are 423/15,810/9311

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 423,810

Greatest Common Factor of Numerators i.e. GCF of 423,810 is 9 .

LCM of Denominators means LCM of 15,9311 as per the given fractions.

LCM of 15,9311 is 139665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,810

GCF of Fractions 423/15,810/9311 is 9/139665

3 423, 810
3 141, 270
47, 90

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 423,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,810 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 423,810 . The biggest common factor number is the GCF number.
So the greatest common factor 423,810 is 9.

Lets's calculate LCM of 15,9311

Given numbers has no common factors except 1. So, there LCM is their product i.e 139665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/139665

Therefore, the GCF of Fractions 423/15,810/9311 is 9/139665

Least Common Multiple of 15,9311 with GCF Formula

Least Common Multiple of 15,9311 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 15,9311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9311) = 1

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

GCF(15,9311) x common factors =1 x 1 = 1

LCM(15,9311) = ( 15 × 9311 ) / 1

LCM(15,9311) = 139665 / 1

LCM(15,9311) = 139665


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 423/15, 810/9311

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 423/15, 810/9311?

Answer: GCF of Numerators as per given numbers 423/15, 810/9311 is

GCF of Numerators i.e. for 423,810 is 9

LCM of denominators i.e. for 15,9311 is 139665.

Thus, GCF of Fractions is 9/139665.Finally, GCF of Fractions for 423/15, 810/9311 is 9/139665.