GCD of 366, 585, 48 Calculator

Given Input numbers are 366, 585, 48

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Greatest Common Divisior

We found the divisors of 366, 585, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 585, 48 is 3.

Therefore, GCD of numbers 366, 585, 48 is 3

Given Input Data is 366, 585, 48

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(366, 585) = 71370

GCD(366, 585) = ( 366 x 585 ) / 71370

GCD(366, 585) = 214110 / 71370

GCD(366, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

GCD of 366, 585, 48 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 349, 57
• GCD of 445, 186, 86
• GCD of 830, 461, 46
• GCD of 114, 120, 83
• GCD of 951, 557, 89

1. What is the GCD of 366, 585, 48?

GCD of 366, 585, 48 is 3

2. Where do I get the detailed procedure to find GCD of 366, 585, 48?

You can find a detailed procedure to find GCD of 366, 585, 48 on our page.

3. How to find GCD of 366, 585, 48 on a calculator?

You can find the GCD of 366, 585, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.