GCD of 788, 299, 644, 552 Calculator

Given Input numbers are 788, 299, 644, 552

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 788, 299, 644, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 299, 644, 552 is 1.

Therefore, GCD of numbers 788, 299, 644, 552 is 1

Given Input Data is 788, 299, 644, 552

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 299 is 13 x 23

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 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(788, 299) = 235612

GCD(788, 299) = ( 788 x 299 ) / 235612

GCD(788, 299) = 235612 / 235612

GCD(788, 299) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 788, 299, 644, 552 is 1

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1. What is the GCD of 788, 299, 644, 552?

GCD of 788, 299, 644, 552 is 1

2. Where do I get the detailed procedure to find GCD of 788, 299, 644, 552?

You can find a detailed procedure to find GCD of 788, 299, 644, 552 on our page.

3. How to find GCD of 788, 299, 644, 552 on a calculator?

You can find the GCD of 788, 299, 644, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.