GCD of 964, 873, 312, 809 Calculator

Given Input numbers are 964, 873, 312, 809

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 964, 873, 312, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 873, 312, 809 is 1.

Therefore, GCD of numbers 964, 873, 312, 809 is 1

Given Input Data is 964, 873, 312, 809

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 873 is 3 x 3 x 97

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 809 is 809

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, 873) = 841572

GCD(964, 873) = ( 964 x 873 ) / 841572

GCD(964, 873) = 841572 / 841572

GCD(964, 873) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 964, 873, 312, 809 is 1

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1. What is the GCD of 964, 873, 312, 809?

GCD of 964, 873, 312, 809 is 1

2. Where do I get the detailed procedure to find GCD of 964, 873, 312, 809?

You can find a detailed procedure to find GCD of 964, 873, 312, 809 on our page.

3. How to find GCD of 964, 873, 312, 809 on a calculator?

You can find the GCD of 964, 873, 312, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.