GCD of 240, 489, 192, 400 Calculator

Given Input numbers are 240, 489, 192, 400

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 240, 489, 192, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 489, 192, 400 is 1.

Therefore, GCD of numbers 240, 489, 192, 400 is 1

Given Input Data is 240, 489, 192, 400

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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(240, 489) = 39120

GCD(240, 489) = ( 240 x 489 ) / 39120

GCD(240, 489) = 117360 / 39120

GCD(240, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 192

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

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

GCD(3, 192) = 576 / 192

GCD(3, 192) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

GCD of 240, 489, 192, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 857, 585, 653
• GCD of 230, 381, 717, 283
• GCD of 216, 326, 372, 792
• GCD of 107, 200, 415, 210
• GCD of 102, 272, 117, 509

1. What is the GCD of 240, 489, 192, 400?

GCD of 240, 489, 192, 400 is 1

2. Where do I get the detailed procedure to find GCD of 240, 489, 192, 400?

You can find a detailed procedure to find GCD of 240, 489, 192, 400 on our page.

3. How to find GCD of 240, 489, 192, 400 on a calculator?

You can find the GCD of 240, 489, 192, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.