GCD of 205, 146, 17, 123 Calculator

Given Input numbers are 205, 146, 17, 123

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 205, 146, 17, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 146, 17, 123 is 1.

Therefore, GCD of numbers 205, 146, 17, 123 is 1

Given Input Data is 205, 146, 17, 123

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 146 is 2 x 73

Prime Factorization of 17 is 17

Prime Factorization of 123 is 3 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, 146) = 29930

GCD(205, 146) = ( 205 x 146 ) / 29930

GCD(205, 146) = 29930 / 29930

GCD(205, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 205, 146, 17, 123 is 1

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• GCD of 763, 259, 53, 602

1. What is the GCD of 205, 146, 17, 123?

GCD of 205, 146, 17, 123 is 1

2. Where do I get the detailed procedure to find GCD of 205, 146, 17, 123?

You can find a detailed procedure to find GCD of 205, 146, 17, 123 on our page.

3. How to find GCD of 205, 146, 17, 123 on a calculator?

You can find the GCD of 205, 146, 17, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.