GCD of 585, 264, 678 Calculator

Given Input numbers are 585, 264, 678

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 585, 264, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 264, 678 is 3.

Therefore, GCD of numbers 585, 264, 678 is 3

Given Input Data is 585, 264, 678

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 678 is 2 x 3 x 113

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, 264) = 51480

GCD(585, 264) = ( 585 x 264 ) / 51480

GCD(585, 264) = 154440 / 51480

GCD(585, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 678

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

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

GCD(3, 678) = 2034 / 678

GCD(3, 678) = 3

GCD of 585, 264, 678 is 3

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1. What is the GCD of 585, 264, 678?

GCD of 585, 264, 678 is 3

2. Where do I get the detailed procedure to find GCD of 585, 264, 678?

You can find a detailed procedure to find GCD of 585, 264, 678 on our page.

3. How to find GCD of 585, 264, 678 on a calculator?

You can find the GCD of 585, 264, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.