GCD of 309, 592, 74, 201 Calculator

Given Input numbers are 309, 592, 74, 201

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 309, 592, 74, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 592, 74, 201 is 1.

Therefore, GCD of numbers 309, 592, 74, 201 is 1

Given Input Data is 309, 592, 74, 201

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

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 74 is 2 x 37

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(309, 592) = 182928

GCD(309, 592) = ( 309 x 592 ) / 182928

GCD(309, 592) = 182928 / 182928

GCD(309, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 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 309, 592, 74, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 848, 62, 791
• GCD of 653, 551, 55, 979
• GCD of 118, 981, 25, 606
• GCD of 536, 454, 64, 904
• GCD of 376, 195, 46, 945

1. What is the GCD of 309, 592, 74, 201?

GCD of 309, 592, 74, 201 is 1

2. Where do I get the detailed procedure to find GCD of 309, 592, 74, 201?

You can find a detailed procedure to find GCD of 309, 592, 74, 201 on our page.

3. How to find GCD of 309, 592, 74, 201 on a calculator?

You can find the GCD of 309, 592, 74, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.