Greatest Common Factor of 18/463, 732/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/463, 732/426

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 18/463,732/426

Given fractions are 18/463,732/426

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 18,732

Greatest Common Factor of Numerators i.e. GCF of 18,732 is 6 .

LCM of Denominators means LCM of 463,426 as per the given fractions.

LCM of 463,426 is 197238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,732

GCF of Fractions 18/463,732/426 is 6/197238

2 18, 732
3 9, 366
3, 122

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 18,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,732 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 18,732 . The biggest common factor number is the GCF number.
So the greatest common factor 18,732 is 6.

Lets's calculate LCM of 463,426

Given numbers has no common factors except 1. So, there LCM is their product i.e 197238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/197238

Therefore, the GCF of Fractions 18/463,732/426 is 6/197238

Least Common Multiple of 463,426 with GCF Formula

Least Common Multiple of 463,426 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 463,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,426) = 1

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

GCF(463,426) x common factors =1 x 1 = 1

LCM(463,426) = ( 463 × 426 ) / 1

LCM(463,426) = 197238 / 1

LCM(463,426) = 197238


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 18/463, 732/426

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 18/463, 732/426?

Answer: GCF of Numerators as per given numbers 18/463, 732/426 is

GCF of Numerators i.e. for 18,732 is 6

LCM of denominators i.e. for 463,426 is 197238.

Thus, GCF of Fractions is 6/197238.Finally, GCF of Fractions for 18/463, 732/426 is 6/197238.