GCD of 825, 392, 21, 200 Calculator

Given Input numbers are 825, 392, 21, 200

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 825, 392, 21, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 392, 21, 200 is 1.

Therefore, GCD of numbers 825, 392, 21, 200 is 1

Given Input Data is 825, 392, 21, 200

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 21 is 3 x 7

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(825, 392) = 323400

GCD(825, 392) = ( 825 x 392 ) / 323400

GCD(825, 392) = 323400 / 323400

GCD(825, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 825, 392, 21, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 438, 79, 370
• GCD of 517, 280, 59, 431
• GCD of 420, 434, 47, 282
• GCD of 612, 907, 80, 491
• GCD of 130, 773, 53, 119

1. What is the GCD of 825, 392, 21, 200?

GCD of 825, 392, 21, 200 is 1

2. Where do I get the detailed procedure to find GCD of 825, 392, 21, 200?

You can find a detailed procedure to find GCD of 825, 392, 21, 200 on our page.

3. How to find GCD of 825, 392, 21, 200 on a calculator?

You can find the GCD of 825, 392, 21, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.