GCD of 200, 678, 72, 933 Calculator

Given Input numbers are 200, 678, 72, 933

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

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 200, 678, 72, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 678, 72, 933 is 1.

Therefore, GCD of numbers 200, 678, 72, 933 is 1

Given Input Data is 200, 678, 72, 933

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

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 933 is 3 x 311

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(200, 678) = 67800

GCD(200, 678) = ( 200 x 678 ) / 67800

GCD(200, 678) = 135600 / 67800

GCD(200, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 933

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

LCM(2, 933) = 1866

GCD(2, 933) = ( 2 x 933 ) / 1866

GCD(2, 933) = 1866 / 1866

GCD(2, 933) = 1

GCD of 200, 678, 72, 933 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 434, 99, 860
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• GCD of 544, 489, 55, 935
• GCD of 181, 844, 66, 545

1. What is the GCD of 200, 678, 72, 933?

GCD of 200, 678, 72, 933 is 1

2. Where do I get the detailed procedure to find GCD of 200, 678, 72, 933?

You can find a detailed procedure to find GCD of 200, 678, 72, 933 on our page.

3. How to find GCD of 200, 678, 72, 933 on a calculator?

You can find the GCD of 200, 678, 72, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.