GCD of 785, 580, 11, 644 Calculator

Given Input numbers are 785, 580, 11, 644

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

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 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 785, 580, 11, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 580, 11, 644 is 1.

Therefore, GCD of numbers 785, 580, 11, 644 is 1

Given Input Data is 785, 580, 11, 644

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

Prime Factorization of 785 is 5 x 157

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

Prime Factorization of 11 is 11

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(785, 580) = 91060

GCD(785, 580) = ( 785 x 580 ) / 91060

GCD(785, 580) = 455300 / 91060

GCD(785, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 11

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

LCM(5, 11) = 55

GCD(5, 11) = ( 5 x 11 ) / 55

GCD(5, 11) = 55 / 55

GCD(5, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 785, 580, 11, 644 is 1

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1. What is the GCD of 785, 580, 11, 644?

GCD of 785, 580, 11, 644 is 1

2. Where do I get the detailed procedure to find GCD of 785, 580, 11, 644?

You can find a detailed procedure to find GCD of 785, 580, 11, 644 on our page.

3. How to find GCD of 785, 580, 11, 644 on a calculator?

You can find the GCD of 785, 580, 11, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.