Greatest Common Factor of 18/480, 774/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/480, 774/413

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 18/480,774/413

Given fractions are 18/480,774/413

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 18,774

Greatest Common Factor of Numerators i.e. GCF of 18,774 is 18 .

LCM of Denominators means LCM of 480,413 as per the given fractions.

LCM of 480,413 is 198240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,774

GCF of Fractions 18/480,774/413 is 18/198240

2 18, 774
3 9, 387
3 3, 129
1, 43

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 18,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,774 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 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 18,774 . The biggest common factor number is the GCF number.
So the greatest common factor 18,774 is 18.

Lets's calculate LCM of 480,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 198240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/198240

Therefore, the GCF of Fractions 18/480,774/413 is 18/198240

Least Common Multiple of 480,413 with GCF Formula

Least Common Multiple of 480,413 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 480,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,413) = 1

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

GCF(480,413) x common factors =1 x 1 = 1

LCM(480,413) = ( 480 × 413 ) / 1

LCM(480,413) = 198240 / 1

LCM(480,413) = 198240


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 18/480, 774/413

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 18/480, 774/413?

Answer: GCF of Numerators as per given numbers 18/480, 774/413 is

GCF of Numerators i.e. for 18,774 is 18

LCM of denominators i.e. for 480,413 is 198240.

Thus, GCF of Fractions is 18/198240.Finally, GCF of Fractions for 18/480, 774/413 is 18/198240.