GCD of 609, 900, 57, 196 Calculator

Given Input numbers are 609, 900, 57, 196

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

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 609, 900, 57, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 900, 57, 196 is 1.

Therefore, GCD of numbers 609, 900, 57, 196 is 1

Given Input Data is 609, 900, 57, 196

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 57 is 3 x 19

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(609, 900) = 182700

GCD(609, 900) = ( 609 x 900 ) / 182700

GCD(609, 900) = 548100 / 182700

GCD(609, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 196

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

LCM(3, 196) = 588

GCD(3, 196) = ( 3 x 196 ) / 588

GCD(3, 196) = 588 / 588

GCD(3, 196) = 1

GCD of 609, 900, 57, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 695, 29, 708
• GCD of 531, 169, 97, 792
• GCD of 538, 614, 15, 201
• GCD of 187, 872, 54, 237
• GCD of 493, 333, 95, 166

1. What is the GCD of 609, 900, 57, 196?

GCD of 609, 900, 57, 196 is 1

2. Where do I get the detailed procedure to find GCD of 609, 900, 57, 196?

You can find a detailed procedure to find GCD of 609, 900, 57, 196 on our page.

3. How to find GCD of 609, 900, 57, 196 on a calculator?

You can find the GCD of 609, 900, 57, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.