GCD of 164, 345, 730, 206 Calculator

Given Input numbers are 164, 345, 730, 206

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 206

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

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 164, 345, 730, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 345, 730, 206 is 1.

Therefore, GCD of numbers 164, 345, 730, 206 is 1

Given Input Data is 164, 345, 730, 206

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 206 is 2 x 103

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(164, 345) = 56580

GCD(164, 345) = ( 164 x 345 ) / 56580

GCD(164, 345) = 56580 / 56580

GCD(164, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 164, 345, 730, 206 is 1

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1. What is the GCD of 164, 345, 730, 206?

GCD of 164, 345, 730, 206 is 1

2. Where do I get the detailed procedure to find GCD of 164, 345, 730, 206?

You can find a detailed procedure to find GCD of 164, 345, 730, 206 on our page.

3. How to find GCD of 164, 345, 730, 206 on a calculator?

You can find the GCD of 164, 345, 730, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.