GCD of 961, 589, 152 Calculator

Given Input numbers are 961, 589, 152

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 961, 589, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 589, 152 is 1.

Therefore, GCD of numbers 961, 589, 152 is 1

Given Input Data is 961, 589, 152

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 589 is 19 x 31

Prime Factorization of 152 is 2 x 2 x 2 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(961, 589) = 18259

GCD(961, 589) = ( 961 x 589 ) / 18259

GCD(961, 589) = 566029 / 18259

GCD(961, 589) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 152

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

LCM(31, 152) = 4712

GCD(31, 152) = ( 31 x 152 ) / 4712

GCD(31, 152) = 4712 / 4712

GCD(31, 152) = 1

GCD of 961, 589, 152 is 1

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1. What is the GCD of 961, 589, 152?

GCD of 961, 589, 152 is 1

2. Where do I get the detailed procedure to find GCD of 961, 589, 152?

You can find a detailed procedure to find GCD of 961, 589, 152 on our page.

3. How to find GCD of 961, 589, 152 on a calculator?

You can find the GCD of 961, 589, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.