GCD of 580, 745, 471, 990 Calculator

Given Input numbers are 580, 745, 471, 990

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 580, 745, 471, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 745, 471, 990 is 1.

Therefore, GCD of numbers 580, 745, 471, 990 is 1

Given Input Data is 580, 745, 471, 990

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 745 is 5 x 149

Prime Factorization of 471 is 3 x 157

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 745) = 86420

GCD(580, 745) = ( 580 x 745 ) / 86420

GCD(580, 745) = 432100 / 86420

GCD(580, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 471

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

LCM(5, 471) = 2355

GCD(5, 471) = ( 5 x 471 ) / 2355

GCD(5, 471) = 2355 / 2355

GCD(5, 471) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 580, 745, 471, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 176, 500, 115
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• GCD of 138, 326, 464, 862
• GCD of 164, 289, 457, 122

1. What is the GCD of 580, 745, 471, 990?

GCD of 580, 745, 471, 990 is 1

2. Where do I get the detailed procedure to find GCD of 580, 745, 471, 990?

You can find a detailed procedure to find GCD of 580, 745, 471, 990 on our page.

3. How to find GCD of 580, 745, 471, 990 on a calculator?

You can find the GCD of 580, 745, 471, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.