GCD of 50, 187, 300, 961 Calculator

Given Input numbers are 50, 187, 300, 961

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 50, 187, 300, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 187, 300, 961 is 1.

Therefore, GCD of numbers 50, 187, 300, 961 is 1

Given Input Data is 50, 187, 300, 961

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 187 is 11 x 17

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 961 is 31 x 31

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(50, 187) = 9350

GCD(50, 187) = ( 50 x 187 ) / 9350

GCD(50, 187) = 9350 / 9350

GCD(50, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 50, 187, 300, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 193, 733, 609
• GCD of 79, 226, 217, 576
• GCD of 23, 553, 544, 350
• GCD of 23, 858, 842, 403
• GCD of 30, 967, 956, 790

1. What is the GCD of 50, 187, 300, 961?

GCD of 50, 187, 300, 961 is 1

2. Where do I get the detailed procedure to find GCD of 50, 187, 300, 961?

You can find a detailed procedure to find GCD of 50, 187, 300, 961 on our page.

3. How to find GCD of 50, 187, 300, 961 on a calculator?

You can find the GCD of 50, 187, 300, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.