GCD of 213, 827, 50, 920 Calculator

Given Input numbers are 213, 827, 50, 920

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 213, 827, 50, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 827, 50, 920 is 1.

Therefore, GCD of numbers 213, 827, 50, 920 is 1

Given Input Data is 213, 827, 50, 920

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 827 is 827

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(213, 827) = 176151

GCD(213, 827) = ( 213 x 827 ) / 176151

GCD(213, 827) = 176151 / 176151

GCD(213, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 213, 827, 50, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 650, 31, 241
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• GCD of 320, 409, 80, 810
• GCD of 159, 114, 89, 733

1. What is the GCD of 213, 827, 50, 920?

GCD of 213, 827, 50, 920 is 1

2. Where do I get the detailed procedure to find GCD of 213, 827, 50, 920?

You can find a detailed procedure to find GCD of 213, 827, 50, 920 on our page.

3. How to find GCD of 213, 827, 50, 920 on a calculator?

You can find the GCD of 213, 827, 50, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.