GCD of 493, 189, 780, 200 Calculator

Given Input numbers are 493, 189, 780, 200

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 493, 189, 780, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 189, 780, 200 is 1.

Therefore, GCD of numbers 493, 189, 780, 200 is 1

Given Input Data is 493, 189, 780, 200

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(493, 189) = 93177

GCD(493, 189) = ( 493 x 189 ) / 93177

GCD(493, 189) = 93177 / 93177

GCD(493, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 493, 189, 780, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 329, 179, 281
• GCD of 683, 877, 360, 767
• GCD of 974, 851, 783, 108
• GCD of 808, 643, 125, 692
• GCD of 679, 596, 284, 361

1. What is the GCD of 493, 189, 780, 200?

GCD of 493, 189, 780, 200 is 1

2. Where do I get the detailed procedure to find GCD of 493, 189, 780, 200?

You can find a detailed procedure to find GCD of 493, 189, 780, 200 on our page.

3. How to find GCD of 493, 189, 780, 200 on a calculator?

You can find the GCD of 493, 189, 780, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.