GCD of 36, 609, 349, 526 Calculator

Given Input numbers are 36, 609, 349, 526

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 36, 609, 349, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 609, 349, 526 is 1.

Therefore, GCD of numbers 36, 609, 349, 526 is 1

Given Input Data is 36, 609, 349, 526

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 349 is 349

Prime Factorization of 526 is 2 x 263

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(36, 609) = 7308

GCD(36, 609) = ( 36 x 609 ) / 7308

GCD(36, 609) = 21924 / 7308

GCD(36, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 36, 609, 349, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 193, 233, 133
• GCD of 14, 958, 720, 855
• GCD of 52, 725, 341, 546
• GCD of 37, 661, 651, 670
• GCD of 64, 759, 558, 596

1. What is the GCD of 36, 609, 349, 526?

GCD of 36, 609, 349, 526 is 1

2. Where do I get the detailed procedure to find GCD of 36, 609, 349, 526?

You can find a detailed procedure to find GCD of 36, 609, 349, 526 on our page.

3. How to find GCD of 36, 609, 349, 526 on a calculator?

You can find the GCD of 36, 609, 349, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.