GCD of 156, 509, 77, 629 Calculator

Given Input numbers are 156, 509, 77, 629

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 509

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

1, 509

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 156, 509, 77, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 509, 77, 629 is 1.

Therefore, GCD of numbers 156, 509, 77, 629 is 1

Given Input Data is 156, 509, 77, 629

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 509 is 509

Prime Factorization of 77 is 7 x 11

Prime Factorization of 629 is 17 x 37

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, 509) = 79404

GCD(156, 509) = ( 156 x 509 ) / 79404

GCD(156, 509) = 79404 / 79404

GCD(156, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 156, 509, 77, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 809, 33, 274
• GCD of 697, 343, 47, 730
• GCD of 666, 733, 50, 754
• GCD of 867, 377, 85, 730
• GCD of 488, 271, 37, 248

1. What is the GCD of 156, 509, 77, 629?

GCD of 156, 509, 77, 629 is 1

2. Where do I get the detailed procedure to find GCD of 156, 509, 77, 629?

You can find a detailed procedure to find GCD of 156, 509, 77, 629 on our page.

3. How to find GCD of 156, 509, 77, 629 on a calculator?

You can find the GCD of 156, 509, 77, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.