GCD of 468, 397, 100, 215 Calculator

Given Input numbers are 468, 397, 100, 215

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 468, 397, 100, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 397, 100, 215 is 1.

Therefore, GCD of numbers 468, 397, 100, 215 is 1

Given Input Data is 468, 397, 100, 215

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 397 is 397

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 215 is 5 x 43

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(468, 397) = 185796

GCD(468, 397) = ( 468 x 397 ) / 185796

GCD(468, 397) = 185796 / 185796

GCD(468, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 468, 397, 100, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 540, 405, 363
• GCD of 133, 749, 415, 128
• GCD of 561, 202, 262, 147
• GCD of 907, 235, 484, 765
• GCD of 751, 882, 403, 705

1. What is the GCD of 468, 397, 100, 215?

GCD of 468, 397, 100, 215 is 1

2. Where do I get the detailed procedure to find GCD of 468, 397, 100, 215?

You can find a detailed procedure to find GCD of 468, 397, 100, 215 on our page.

3. How to find GCD of 468, 397, 100, 215 on a calculator?

You can find the GCD of 468, 397, 100, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.