GCD of 961, 842, 36, 442 Calculator

Given Input numbers are 961, 842, 36, 442

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 961, 842, 36, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 842, 36, 442 is 1.

Therefore, GCD of numbers 961, 842, 36, 442 is 1

Given Input Data is 961, 842, 36, 442

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 842 is 2 x 421

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 442 is 2 x 13 x 17

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, 842) = 809162

GCD(961, 842) = ( 961 x 842 ) / 809162

GCD(961, 842) = 809162 / 809162

GCD(961, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 961, 842, 36, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 535, 17, 560
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• GCD of 651, 305, 98, 619
• GCD of 187, 315, 62, 825
• GCD of 618, 159, 49, 422

1. What is the GCD of 961, 842, 36, 442?

GCD of 961, 842, 36, 442 is 1

2. Where do I get the detailed procedure to find GCD of 961, 842, 36, 442?

You can find a detailed procedure to find GCD of 961, 842, 36, 442 on our page.

3. How to find GCD of 961, 842, 36, 442 on a calculator?

You can find the GCD of 961, 842, 36, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.