GCD of 312, 358, 963, 133 Calculator

Given Input numbers are 312, 358, 963, 133

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

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 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 963

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

1, 3, 9, 107, 321, 963

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 312, 358, 963, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 358, 963, 133 is 1.

Therefore, GCD of numbers 312, 358, 963, 133 is 1

Given Input Data is 312, 358, 963, 133

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

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 133 is 7 x 19

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(312, 358) = 55848

GCD(312, 358) = ( 312 x 358 ) / 55848

GCD(312, 358) = 111696 / 55848

GCD(312, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 312, 358, 963, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 181, 264, 793
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1. What is the GCD of 312, 358, 963, 133?

GCD of 312, 358, 963, 133 is 1

2. Where do I get the detailed procedure to find GCD of 312, 358, 963, 133?

You can find a detailed procedure to find GCD of 312, 358, 963, 133 on our page.

3. How to find GCD of 312, 358, 963, 133 on a calculator?

You can find the GCD of 312, 358, 963, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.