GCD of 413, 772, 50, 920 Calculator

Given Input numbers are 413, 772, 50, 920

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 413, 772, 50, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 772, 50, 920 is 1.

Therefore, GCD of numbers 413, 772, 50, 920 is 1

Given Input Data is 413, 772, 50, 920

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 772 is 2 x 2 x 193

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(413, 772) = 318836

GCD(413, 772) = ( 413 x 772 ) / 318836

GCD(413, 772) = 318836 / 318836

GCD(413, 772) = 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 413, 772, 50, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 200, 22, 263
• GCD of 125, 700, 92, 386
• GCD of 718, 450, 85, 899
• GCD of 210, 481, 66, 854
• GCD of 115, 934, 48, 498

1. What is the GCD of 413, 772, 50, 920?

GCD of 413, 772, 50, 920 is 1

2. Where do I get the detailed procedure to find GCD of 413, 772, 50, 920?

You can find a detailed procedure to find GCD of 413, 772, 50, 920 on our page.

3. How to find GCD of 413, 772, 50, 920 on a calculator?

You can find the GCD of 413, 772, 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.