GCD of 559, 772, 188, 640 Calculator

Given Input numbers are 559, 772, 188, 640

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 559, 772, 188, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 772, 188, 640 is 1.

Therefore, GCD of numbers 559, 772, 188, 640 is 1

Given Input Data is 559, 772, 188, 640

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(559, 772) = 431548

GCD(559, 772) = ( 559 x 772 ) / 431548

GCD(559, 772) = 431548 / 431548

GCD(559, 772) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 559, 772, 188, 640 is 1

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1. What is the GCD of 559, 772, 188, 640?

GCD of 559, 772, 188, 640 is 1

2. Where do I get the detailed procedure to find GCD of 559, 772, 188, 640?

You can find a detailed procedure to find GCD of 559, 772, 188, 640 on our page.

3. How to find GCD of 559, 772, 188, 640 on a calculator?

You can find the GCD of 559, 772, 188, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.