GCD of 206, 505, 774, 550 Calculator

Given Input numbers are 206, 505, 774, 550

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 206, 505, 774, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 505, 774, 550 is 1.

Therefore, GCD of numbers 206, 505, 774, 550 is 1

Given Input Data is 206, 505, 774, 550

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 505 is 5 x 101

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(206, 505) = 104030

GCD(206, 505) = ( 206 x 505 ) / 104030

GCD(206, 505) = 104030 / 104030

GCD(206, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 206, 505, 774, 550 is 1

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1. What is the GCD of 206, 505, 774, 550?

GCD of 206, 505, 774, 550 is 1

2. Where do I get the detailed procedure to find GCD of 206, 505, 774, 550?

You can find a detailed procedure to find GCD of 206, 505, 774, 550 on our page.

3. How to find GCD of 206, 505, 774, 550 on a calculator?

You can find the GCD of 206, 505, 774, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.