GCD of 780, 464, 585 Calculator

Given Input numbers are 780, 464, 585

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

Greatest Common Divisior

We found the divisors of 780, 464, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 464, 585 is 1.

Therefore, GCD of numbers 780, 464, 585 is 1

Given Input Data is 780, 464, 585

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

The above numbers do not have any common prime factor. So GCD is 1

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(780, 464) = 90480

GCD(780, 464) = ( 780 x 464 ) / 90480

GCD(780, 464) = 361920 / 90480

GCD(780, 464) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 585

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

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

GCD(4, 585) = 2340 / 2340

GCD(4, 585) = 1

GCD of 780, 464, 585 is 1

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• GCD of 691, 120, 609
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1. What is the GCD of 780, 464, 585?

GCD of 780, 464, 585 is 1

2. Where do I get the detailed procedure to find GCD of 780, 464, 585?

You can find a detailed procedure to find GCD of 780, 464, 585 on our page.

3. How to find GCD of 780, 464, 585 on a calculator?

You can find the GCD of 780, 464, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.