GCD of 964, 450, 23, 872 Calculator

Given Input numbers are 964, 450, 23, 872

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

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 964, 450, 23, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 450, 23, 872 is 1.

Therefore, GCD of numbers 964, 450, 23, 872 is 1

Given Input Data is 964, 450, 23, 872

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

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 23 is 23

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(964, 450) = 216900

GCD(964, 450) = ( 964 x 450 ) / 216900

GCD(964, 450) = 433800 / 216900

GCD(964, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 964, 450, 23, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 140, 64, 841
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1. What is the GCD of 964, 450, 23, 872?

GCD of 964, 450, 23, 872 is 1

2. Where do I get the detailed procedure to find GCD of 964, 450, 23, 872?

You can find a detailed procedure to find GCD of 964, 450, 23, 872 on our page.

3. How to find GCD of 964, 450, 23, 872 on a calculator?

You can find the GCD of 964, 450, 23, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.