GCD of 156, 357, 93, 509 Calculator

Given Input numbers are 156, 357, 93, 509

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 156, 357, 93, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 357, 93, 509 is 1.

Therefore, GCD of numbers 156, 357, 93, 509 is 1

Given Input Data is 156, 357, 93, 509

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 93 is 3 x 31

Prime Factorization of 509 is 509

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(156, 357) = 18564

GCD(156, 357) = ( 156 x 357 ) / 18564

GCD(156, 357) = 55692 / 18564

GCD(156, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 93

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

LCM(3, 93) = 93

GCD(3, 93) = ( 3 x 93 ) / 93

GCD(3, 93) = 279 / 93

GCD(3, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 509

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

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

GCD(3, 509) = 1527 / 1527

GCD(3, 509) = 1

GCD of 156, 357, 93, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 675, 14, 388
• GCD of 328, 683, 57, 260
• GCD of 345, 905, 95, 623
• GCD of 600, 329, 65, 891
• GCD of 259, 574, 39, 400

1. What is the GCD of 156, 357, 93, 509?

GCD of 156, 357, 93, 509 is 1

2. Where do I get the detailed procedure to find GCD of 156, 357, 93, 509?

You can find a detailed procedure to find GCD of 156, 357, 93, 509 on our page.

3. How to find GCD of 156, 357, 93, 509 on a calculator?

You can find the GCD of 156, 357, 93, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.