GCD of 165, 390, 201, 523 Calculator

Given Input numbers are 165, 390, 201, 523

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 165, 390, 201, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 390, 201, 523 is 1.

Therefore, GCD of numbers 165, 390, 201, 523 is 1

Given Input Data is 165, 390, 201, 523

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 390 is 2 x 3 x 5 x 13

Prime Factorization of 201 is 3 x 67

Prime Factorization of 523 is 523

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, 390) = 4290

GCD(165, 390) = ( 165 x 390 ) / 4290

GCD(165, 390) = 64350 / 4290

GCD(165, 390) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 201

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

LCM(15, 201) = 1005

GCD(15, 201) = ( 15 x 201 ) / 1005

GCD(15, 201) = 3015 / 1005

GCD(15, 201) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 523

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

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

GCD(3, 523) = 1569 / 1569

GCD(3, 523) = 1

GCD of 165, 390, 201, 523 is 1

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• GCD of 697, 911, 412, 693
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1. What is the GCD of 165, 390, 201, 523?

GCD of 165, 390, 201, 523 is 1

2. Where do I get the detailed procedure to find GCD of 165, 390, 201, 523?

You can find a detailed procedure to find GCD of 165, 390, 201, 523 on our page.

3. How to find GCD of 165, 390, 201, 523 on a calculator?

You can find the GCD of 165, 390, 201, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.