GCD of 456, 819, 964, 189 Calculator

Given Input numbers are 456, 819, 964, 189

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 456, 819, 964, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 819, 964, 189 is 1.

Therefore, GCD of numbers 456, 819, 964, 189 is 1

Given Input Data is 456, 819, 964, 189

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(456, 819) = 124488

GCD(456, 819) = ( 456 x 819 ) / 124488

GCD(456, 819) = 373464 / 124488

GCD(456, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 964

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

LCM(3, 964) = 2892

GCD(3, 964) = ( 3 x 964 ) / 2892

GCD(3, 964) = 2892 / 2892

GCD(3, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 456, 819, 964, 189 is 1

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1. What is the GCD of 456, 819, 964, 189?

GCD of 456, 819, 964, 189 is 1

2. Where do I get the detailed procedure to find GCD of 456, 819, 964, 189?

You can find a detailed procedure to find GCD of 456, 819, 964, 189 on our page.

3. How to find GCD of 456, 819, 964, 189 on a calculator?

You can find the GCD of 456, 819, 964, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.