GCD of 42, 627, 511, 200 Calculator

Given Input numbers are 42, 627, 511, 200

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

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 42, 627, 511, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 627, 511, 200 is 1.

Therefore, GCD of numbers 42, 627, 511, 200 is 1

Given Input Data is 42, 627, 511, 200

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 511 is 7 x 73

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(42, 627) = 8778

GCD(42, 627) = ( 42 x 627 ) / 8778

GCD(42, 627) = 26334 / 8778

GCD(42, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 511

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

LCM(3, 511) = 1533

GCD(3, 511) = ( 3 x 511 ) / 1533

GCD(3, 511) = 1533 / 1533

GCD(3, 511) = 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 42, 627, 511, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 273, 111, 716
• GCD of 70, 489, 744, 331
• GCD of 56, 864, 889, 628
• GCD of 97, 793, 352, 810
• GCD of 10, 164, 755, 694

1. What is the GCD of 42, 627, 511, 200?

GCD of 42, 627, 511, 200 is 1

2. Where do I get the detailed procedure to find GCD of 42, 627, 511, 200?

You can find a detailed procedure to find GCD of 42, 627, 511, 200 on our page.

3. How to find GCD of 42, 627, 511, 200 on a calculator?

You can find the GCD of 42, 627, 511, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.