GCD of 50, 20, 31, 30 Calculator

Given Input numbers are 50, 20, 31, 30

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 20

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

1, 2, 4, 5, 10, 20

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Greatest Common Divisior

We found the divisors of 50, 20, 31, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 20, 31, 30 is 1.

Therefore, GCD of numbers 50, 20, 31, 30 is 1

Given Input Data is 50, 20, 31, 30

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 20 is 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 30 is 2 x 3 x 5

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, 20) = 100

GCD(50, 20) = ( 50 x 20 ) / 100

GCD(50, 20) = 1000 / 100

GCD(50, 20) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 31

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

LCM(10, 31) = 310

GCD(10, 31) = ( 10 x 31 ) / 310

GCD(10, 31) = 310 / 310

GCD(10, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

GCD of 50, 20, 31, 30 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 85, 84, 99
• GCD of 68, 40, 73, 74
• GCD of 61, 66, 83, 55
• GCD of 86, 91, 72, 70
• GCD of 50, 17, 18, 58

1. What is the GCD of 50, 20, 31, 30?

GCD of 50, 20, 31, 30 is 1

2. Where do I get the detailed procedure to find GCD of 50, 20, 31, 30?

You can find a detailed procedure to find GCD of 50, 20, 31, 30 on our page.

3. How to find GCD of 50, 20, 31, 30 on a calculator?

You can find the GCD of 50, 20, 31, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.