GCD of 580, 568, 735, 469 Calculator

Given Input numbers are 580, 568, 735, 469

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 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 580, 568, 735, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 568, 735, 469 is 1.

Therefore, GCD of numbers 580, 568, 735, 469 is 1

Given Input Data is 580, 568, 735, 469

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 568 is 2 x 2 x 2 x 71

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 469 is 7 x 67

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, 568) = 82360

GCD(580, 568) = ( 580 x 568 ) / 82360

GCD(580, 568) = 329440 / 82360

GCD(580, 568) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 735

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

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

GCD(4, 735) = 2940 / 2940

GCD(4, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 580, 568, 735, 469 is 1

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1. What is the GCD of 580, 568, 735, 469?

GCD of 580, 568, 735, 469 is 1

2. Where do I get the detailed procedure to find GCD of 580, 568, 735, 469?

You can find a detailed procedure to find GCD of 580, 568, 735, 469 on our page.

3. How to find GCD of 580, 568, 735, 469 on a calculator?

You can find the GCD of 580, 568, 735, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.