GCD of 205, 180, 910, 656 Calculator

Given Input numbers are 205, 180, 910, 656

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 205, 180, 910, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 180, 910, 656 is 1.

Therefore, GCD of numbers 205, 180, 910, 656 is 1

Given Input Data is 205, 180, 910, 656

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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, 180) = 7380

GCD(205, 180) = ( 205 x 180 ) / 7380

GCD(205, 180) = 36900 / 7380

GCD(205, 180) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 910

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

LCM(5, 910) = 910

GCD(5, 910) = ( 5 x 910 ) / 910

GCD(5, 910) = 4550 / 910

GCD(5, 910) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 656

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

LCM(5, 656) = 3280

GCD(5, 656) = ( 5 x 656 ) / 3280

GCD(5, 656) = 3280 / 3280

GCD(5, 656) = 1

GCD of 205, 180, 910, 656 is 1

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• GCD of 900, 119, 610, 709

1. What is the GCD of 205, 180, 910, 656?

GCD of 205, 180, 910, 656 is 1

2. Where do I get the detailed procedure to find GCD of 205, 180, 910, 656?

You can find a detailed procedure to find GCD of 205, 180, 910, 656 on our page.

3. How to find GCD of 205, 180, 910, 656 on a calculator?

You can find the GCD of 205, 180, 910, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.