GCD of 961, 460, 27, 462 Calculator

Given Input numbers are 961, 460, 27, 462

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 961, 460, 27, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 460, 27, 462 is 1.

Therefore, GCD of numbers 961, 460, 27, 462 is 1

Given Input Data is 961, 460, 27, 462

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 462 is 2 x 3 x 7 x 11

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, 460) = 442060

GCD(961, 460) = ( 961 x 460 ) / 442060

GCD(961, 460) = 442060 / 442060

GCD(961, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 961, 460, 27, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 367, 71, 936
• GCD of 428, 462, 27, 621
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• GCD of 506, 700, 14, 195

1. What is the GCD of 961, 460, 27, 462?

GCD of 961, 460, 27, 462 is 1

2. Where do I get the detailed procedure to find GCD of 961, 460, 27, 462?

You can find a detailed procedure to find GCD of 961, 460, 27, 462 on our page.

3. How to find GCD of 961, 460, 27, 462 on a calculator?

You can find the GCD of 961, 460, 27, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.