GCD of 959, 521, 20, 996 Calculator

Given Input numbers are 959, 521, 20, 996

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 959, 521, 20, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 521, 20, 996 is 1.

Therefore, GCD of numbers 959, 521, 20, 996 is 1

Given Input Data is 959, 521, 20, 996

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 521 is 521

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(959, 521) = 499639

GCD(959, 521) = ( 959 x 521 ) / 499639

GCD(959, 521) = 499639 / 499639

GCD(959, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 959, 521, 20, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 598, 47, 792
• GCD of 651, 477, 39, 269
• GCD of 156, 524, 83, 682
• GCD of 616, 193, 40, 762
• GCD of 521, 762, 15, 208

1. What is the GCD of 959, 521, 20, 996?

GCD of 959, 521, 20, 996 is 1

2. Where do I get the detailed procedure to find GCD of 959, 521, 20, 996?

You can find a detailed procedure to find GCD of 959, 521, 20, 996 on our page.

3. How to find GCD of 959, 521, 20, 996 on a calculator?

You can find the GCD of 959, 521, 20, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.