GCD of 165, 449, 365, 772 Calculator

Given Input numbers are 165, 449, 365, 772

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 165, 449, 365, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 449, 365, 772 is 1.

Therefore, GCD of numbers 165, 449, 365, 772 is 1

Given Input Data is 165, 449, 365, 772

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 449 is 449

Prime Factorization of 365 is 5 x 73

Prime Factorization of 772 is 2 x 2 x 193

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(165, 449) = 74085

GCD(165, 449) = ( 165 x 449 ) / 74085

GCD(165, 449) = 74085 / 74085

GCD(165, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 165, 449, 365, 772 is 1

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1. What is the GCD of 165, 449, 365, 772?

GCD of 165, 449, 365, 772 is 1

2. Where do I get the detailed procedure to find GCD of 165, 449, 365, 772?

You can find a detailed procedure to find GCD of 165, 449, 365, 772 on our page.

3. How to find GCD of 165, 449, 365, 772 on a calculator?

You can find the GCD of 165, 449, 365, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.