GCD of 585, 492, 879 Calculator

Given Input numbers are 585, 492, 879

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

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 585, 492, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 492, 879 is 3.

Therefore, GCD of numbers 585, 492, 879 is 3

Given Input Data is 585, 492, 879

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

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 879 is 3 x 293

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(585, 492) = 95940

GCD(585, 492) = ( 585 x 492 ) / 95940

GCD(585, 492) = 287820 / 95940

GCD(585, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 879

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

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

GCD(3, 879) = 2637 / 879

GCD(3, 879) = 3

GCD of 585, 492, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 650, 805
• GCD of 104, 578, 272
• GCD of 980, 164, 669
• GCD of 186, 792, 180
• GCD of 522, 671, 256

1. What is the GCD of 585, 492, 879?

GCD of 585, 492, 879 is 3

2. Where do I get the detailed procedure to find GCD of 585, 492, 879?

You can find a detailed procedure to find GCD of 585, 492, 879 on our page.

3. How to find GCD of 585, 492, 879 on a calculator?

You can find the GCD of 585, 492, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.