GCD of 165, 457, 78, 524 Calculator

Given Input numbers are 165, 457, 78, 524

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 165, 457, 78, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 457, 78, 524 is 1.

Therefore, GCD of numbers 165, 457, 78, 524 is 1

Given Input Data is 165, 457, 78, 524

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 457 is 457

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 524 is 2 x 2 x 131

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, 457) = 75405

GCD(165, 457) = ( 165 x 457 ) / 75405

GCD(165, 457) = 75405 / 75405

GCD(165, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 165, 457, 78, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 253, 58, 797
• GCD of 347, 186, 89, 278
• GCD of 378, 990, 88, 524
• GCD of 662, 304, 25, 669
• GCD of 181, 292, 83, 315

1. What is the GCD of 165, 457, 78, 524?

GCD of 165, 457, 78, 524 is 1

2. Where do I get the detailed procedure to find GCD of 165, 457, 78, 524?

You can find a detailed procedure to find GCD of 165, 457, 78, 524 on our page.

3. How to find GCD of 165, 457, 78, 524 on a calculator?

You can find the GCD of 165, 457, 78, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.