GCD of 764, 909, 252, 256 Calculator

Given Input numbers are 764, 909, 252, 256

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 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Greatest Common Divisior

We found the divisors of 764, 909, 252, 256 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 909, 252, 256 is 1.

Therefore, GCD of numbers 764, 909, 252, 256 is 1

Given Input Data is 764, 909, 252, 256

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 909 is 3 x 3 x 101

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 909) = 694476

GCD(764, 909) = ( 764 x 909 ) / 694476

GCD(764, 909) = 694476 / 694476

GCD(764, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

GCD of 764, 909, 252, 256 is 1

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1. What is the GCD of 764, 909, 252, 256?

GCD of 764, 909, 252, 256 is 1

2. Where do I get the detailed procedure to find GCD of 764, 909, 252, 256?

You can find a detailed procedure to find GCD of 764, 909, 252, 256 on our page.

3. How to find GCD of 764, 909, 252, 256 on a calculator?

You can find the GCD of 764, 909, 252, 256 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.