Greatest Common Factor of 415/483, 5476/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/483, 5476/230

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 415/483,5476/230

Given fractions are 415/483,5476/230

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 415,5476

Greatest Common Factor of Numerators i.e. GCF of 415,5476 is 1 .

LCM of Denominators means LCM of 483,230 as per the given fractions.

LCM of 483,230 is 4830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,5476

GCF of Fractions 415/483,5476/230 is 1/4830

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

Greatest Common Factor of 415,5476 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,5476 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1,2,4,37,74,148,1369,2738,5476

Greatest Common Factor

We found the factors 415,5476 . The biggest common factor number is the GCF number.
So the greatest common factor 415,5476 is 1.

Lets's calculate LCM of 483,230

23 483, 230
21, 10

∴ So the LCM of the given numbers is 23 x 21 x 10 = 4830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4830

Therefore, the GCF of Fractions 415/483,5476/230 is 1/4830

Least Common Multiple of 483,230 with GCF Formula

Least Common Multiple of 483,230 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 483,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,230) = 23

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

GCF(483,230) x common factors =23 x 1 = 23

LCM(483,230) = ( 483 × 230 ) / 23

LCM(483,230) = 111090 / 23

LCM(483,230) = 4830


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 415/483, 5476/230

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 415/483, 5476/230?

Answer: GCF of Numerators as per given numbers 415/483, 5476/230 is

GCF of Numerators i.e. for 415,5476 is 1

LCM of denominators i.e. for 483,230 is 4830.

Thus, GCF of Fractions is 1/4830.Finally, GCF of Fractions for 415/483, 5476/230 is 1/4830.