GCD of 468, 370, 231, 400 Calculator

Given Input numbers are 468, 370, 231, 400

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 468, 370, 231, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 370, 231, 400 is 1.

Therefore, GCD of numbers 468, 370, 231, 400 is 1

Given Input Data is 468, 370, 231, 400

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 370 is 2 x 5 x 37

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 400 is 2 x 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(468, 370) = 86580

GCD(468, 370) = ( 468 x 370 ) / 86580

GCD(468, 370) = 173160 / 86580

GCD(468, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 468, 370, 231, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 171, 479, 637
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• GCD of 992, 146, 780, 842
• GCD of 440, 256, 687, 835

1. What is the GCD of 468, 370, 231, 400?

GCD of 468, 370, 231, 400 is 1

2. Where do I get the detailed procedure to find GCD of 468, 370, 231, 400?

You can find a detailed procedure to find GCD of 468, 370, 231, 400 on our page.

3. How to find GCD of 468, 370, 231, 400 on a calculator?

You can find the GCD of 468, 370, 231, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.