GCD of 964, 313, 189, 973 Calculator

Given Input numbers are 964, 313, 189, 973

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 189

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

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 964, 313, 189, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 313, 189, 973 is 1.

Therefore, GCD of numbers 964, 313, 189, 973 is 1

Given Input Data is 964, 313, 189, 973

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 313 is 313

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

Prime Factorization of 973 is 7 x 139

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, 313) = 301732

GCD(964, 313) = ( 964 x 313 ) / 301732

GCD(964, 313) = 301732 / 301732

GCD(964, 313) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 964, 313, 189, 973 is 1

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1. What is the GCD of 964, 313, 189, 973?

GCD of 964, 313, 189, 973 is 1

2. Where do I get the detailed procedure to find GCD of 964, 313, 189, 973?

You can find a detailed procedure to find GCD of 964, 313, 189, 973 on our page.

3. How to find GCD of 964, 313, 189, 973 on a calculator?

You can find the GCD of 964, 313, 189, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.