GCD of 764, 408, 57, 789 Calculator

Given Input numbers are 764, 408, 57, 789

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 764, 408, 57, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 408, 57, 789 is 1.

Therefore, GCD of numbers 764, 408, 57, 789 is 1

Given Input Data is 764, 408, 57, 789

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 57 is 3 x 19

Prime Factorization of 789 is 3 x 263

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(764, 408) = 77928

GCD(764, 408) = ( 764 x 408 ) / 77928

GCD(764, 408) = 311712 / 77928

GCD(764, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 57

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

LCM(4, 57) = 228

GCD(4, 57) = ( 4 x 57 ) / 228

GCD(4, 57) = 228 / 228

GCD(4, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 764, 408, 57, 789 is 1

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1. What is the GCD of 764, 408, 57, 789?

GCD of 764, 408, 57, 789 is 1

2. Where do I get the detailed procedure to find GCD of 764, 408, 57, 789?

You can find a detailed procedure to find GCD of 764, 408, 57, 789 on our page.

3. How to find GCD of 764, 408, 57, 789 on a calculator?

You can find the GCD of 764, 408, 57, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.