GCD of 963, 159, 23, 310 Calculator

Given Input numbers are 963, 159, 23, 310

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 23

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

1, 23

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 963, 159, 23, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 159, 23, 310 is 1.

Therefore, GCD of numbers 963, 159, 23, 310 is 1

Given Input Data is 963, 159, 23, 310

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 159 is 3 x 53

Prime Factorization of 23 is 23

Prime Factorization of 310 is 2 x 5 x 31

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(963, 159) = 51039

GCD(963, 159) = ( 963 x 159 ) / 51039

GCD(963, 159) = 153117 / 51039

GCD(963, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 963, 159, 23, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 581, 59, 372
• GCD of 420, 146, 57, 400
• GCD of 576, 524, 94, 487
• GCD of 962, 905, 63, 586
• GCD of 207, 843, 39, 462

1. What is the GCD of 963, 159, 23, 310?

GCD of 963, 159, 23, 310 is 1

2. Where do I get the detailed procedure to find GCD of 963, 159, 23, 310?

You can find a detailed procedure to find GCD of 963, 159, 23, 310 on our page.

3. How to find GCD of 963, 159, 23, 310 on a calculator?

You can find the GCD of 963, 159, 23, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.