GCD of 205, 551, 40, 660 Calculator

Given Input numbers are 205, 551, 40, 660

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 205, 551, 40, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 551, 40, 660 is 1.

Therefore, GCD of numbers 205, 551, 40, 660 is 1

Given Input Data is 205, 551, 40, 660

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 551 is 19 x 29

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 660 is 2 x 2 x 3 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(205, 551) = 112955

GCD(205, 551) = ( 205 x 551 ) / 112955

GCD(205, 551) = 112955 / 112955

GCD(205, 551) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 205, 551, 40, 660 is 1

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1. What is the GCD of 205, 551, 40, 660?

GCD of 205, 551, 40, 660 is 1

2. Where do I get the detailed procedure to find GCD of 205, 551, 40, 660?

You can find a detailed procedure to find GCD of 205, 551, 40, 660 on our page.

3. How to find GCD of 205, 551, 40, 660 on a calculator?

You can find the GCD of 205, 551, 40, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.