GCD of 580, 216, 619, 745 Calculator

Given Input numbers are 580, 216, 619, 745

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 745

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

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 580, 216, 619, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 216, 619, 745 is 1.

Therefore, GCD of numbers 580, 216, 619, 745 is 1

Given Input Data is 580, 216, 619, 745

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 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 619 is 619

Prime Factorization of 745 is 5 x 149

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, 216) = 31320

GCD(580, 216) = ( 580 x 216 ) / 31320

GCD(580, 216) = 125280 / 31320

GCD(580, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 619

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

LCM(4, 619) = 2476

GCD(4, 619) = ( 4 x 619 ) / 2476

GCD(4, 619) = 2476 / 2476

GCD(4, 619) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 580, 216, 619, 745 is 1

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1. What is the GCD of 580, 216, 619, 745?

GCD of 580, 216, 619, 745 is 1

2. Where do I get the detailed procedure to find GCD of 580, 216, 619, 745?

You can find a detailed procedure to find GCD of 580, 216, 619, 745 on our page.

3. How to find GCD of 580, 216, 619, 745 on a calculator?

You can find the GCD of 580, 216, 619, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.