GCD of 165, 725, 592, 441 Calculator

Given Input numbers are 165, 725, 592, 441

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Greatest Common Divisior

We found the divisors of 165, 725, 592, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 725, 592, 441 is 1.

Therefore, GCD of numbers 165, 725, 592, 441 is 1

Given Input Data is 165, 725, 592, 441

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 725 is 5 x 5 x 29

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 441 is 3 x 3 x 7 x 7

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, 725) = 23925

GCD(165, 725) = ( 165 x 725 ) / 23925

GCD(165, 725) = 119625 / 23925

GCD(165, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 592

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

LCM(5, 592) = 2960

GCD(5, 592) = ( 5 x 592 ) / 2960

GCD(5, 592) = 2960 / 2960

GCD(5, 592) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 441

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

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

GCD(1, 441) = 441 / 441

GCD(1, 441) = 1

GCD of 165, 725, 592, 441 is 1

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1. What is the GCD of 165, 725, 592, 441?

GCD of 165, 725, 592, 441 is 1

2. Where do I get the detailed procedure to find GCD of 165, 725, 592, 441?

You can find a detailed procedure to find GCD of 165, 725, 592, 441 on our page.

3. How to find GCD of 165, 725, 592, 441 on a calculator?

You can find the GCD of 165, 725, 592, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.