GCD of 580, 757, 27, 849 Calculator

Given Input numbers are 580, 757, 27, 849

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 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 580, 757, 27, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 757, 27, 849 is 1.

Therefore, GCD of numbers 580, 757, 27, 849 is 1

Given Input Data is 580, 757, 27, 849

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 757 is 757

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 849 is 3 x 283

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, 757) = 439060

GCD(580, 757) = ( 580 x 757 ) / 439060

GCD(580, 757) = 439060 / 439060

GCD(580, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 580, 757, 27, 849 is 1

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1. What is the GCD of 580, 757, 27, 849?

GCD of 580, 757, 27, 849 is 1

2. Where do I get the detailed procedure to find GCD of 580, 757, 27, 849?

You can find a detailed procedure to find GCD of 580, 757, 27, 849 on our page.

3. How to find GCD of 580, 757, 27, 849 on a calculator?

You can find the GCD of 580, 757, 27, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.