GCD of 259, 595, 132, 201 Calculator

Given Input numbers are 259, 595, 132, 201

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 201

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

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 259, 595, 132, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 595, 132, 201 is 1.

Therefore, GCD of numbers 259, 595, 132, 201 is 1

Given Input Data is 259, 595, 132, 201

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 201 is 3 x 67

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(259, 595) = 22015

GCD(259, 595) = ( 259 x 595 ) / 22015

GCD(259, 595) = 154105 / 22015

GCD(259, 595) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 132

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

LCM(7, 132) = 924

GCD(7, 132) = ( 7 x 132 ) / 924

GCD(7, 132) = 924 / 924

GCD(7, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 259, 595, 132, 201 is 1

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1. What is the GCD of 259, 595, 132, 201?

GCD of 259, 595, 132, 201 is 1

2. Where do I get the detailed procedure to find GCD of 259, 595, 132, 201?

You can find a detailed procedure to find GCD of 259, 595, 132, 201 on our page.

3. How to find GCD of 259, 595, 132, 201 on a calculator?

You can find the GCD of 259, 595, 132, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.