GCD of 514, 609, 45, 636 Calculator

Given Input numbers are 514, 609, 45, 636

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 514, 609, 45, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 609, 45, 636 is 1.

Therefore, GCD of numbers 514, 609, 45, 636 is 1

Given Input Data is 514, 609, 45, 636

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(514, 609) = 313026

GCD(514, 609) = ( 514 x 609 ) / 313026

GCD(514, 609) = 313026 / 313026

GCD(514, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 514, 609, 45, 636 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 692, 30, 620
• GCD of 332, 931, 38, 978
• GCD of 947, 571, 42, 680
• GCD of 944, 333, 28, 105
• GCD of 308, 323, 85, 962

1. What is the GCD of 514, 609, 45, 636?

GCD of 514, 609, 45, 636 is 1

2. Where do I get the detailed procedure to find GCD of 514, 609, 45, 636?

You can find a detailed procedure to find GCD of 514, 609, 45, 636 on our page.

3. How to find GCD of 514, 609, 45, 636 on a calculator?

You can find the GCD of 514, 609, 45, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.