GCD of 580, 832, 719, 285 Calculator

Given Input numbers are 580, 832, 719, 285

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 580, 832, 719, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 832, 719, 285 is 1.

Therefore, GCD of numbers 580, 832, 719, 285 is 1

Given Input Data is 580, 832, 719, 285

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 719 is 719

Prime Factorization of 285 is 3 x 5 x 19

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(580, 832) = 120640

GCD(580, 832) = ( 580 x 832 ) / 120640

GCD(580, 832) = 482560 / 120640

GCD(580, 832) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 719

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

LCM(4, 719) = 2876

GCD(4, 719) = ( 4 x 719 ) / 2876

GCD(4, 719) = 2876 / 2876

GCD(4, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 580, 832, 719, 285 is 1

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• GCD of 506, 600, 596, 226
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1. What is the GCD of 580, 832, 719, 285?

GCD of 580, 832, 719, 285 is 1

2. Where do I get the detailed procedure to find GCD of 580, 832, 719, 285?

You can find a detailed procedure to find GCD of 580, 832, 719, 285 on our page.

3. How to find GCD of 580, 832, 719, 285 on a calculator?

You can find the GCD of 580, 832, 719, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.