GCD of 840, 243, 57, 449 Calculator

Given Input numbers are 840, 243, 57, 449

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 840, 243, 57, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 243, 57, 449 is 1.

Therefore, GCD of numbers 840, 243, 57, 449 is 1

Given Input Data is 840, 243, 57, 449

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 57 is 3 x 19

Prime Factorization of 449 is 449

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(840, 243) = 68040

GCD(840, 243) = ( 840 x 243 ) / 68040

GCD(840, 243) = 204120 / 68040

GCD(840, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 449

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

LCM(3, 449) = 1347

GCD(3, 449) = ( 3 x 449 ) / 1347

GCD(3, 449) = 1347 / 1347

GCD(3, 449) = 1

GCD of 840, 243, 57, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 766, 64, 376
• GCD of 888, 429, 55, 868
• GCD of 982, 590, 37, 487
• GCD of 698, 772, 14, 378
• GCD of 281, 693, 97, 855

1. What is the GCD of 840, 243, 57, 449?

GCD of 840, 243, 57, 449 is 1

2. Where do I get the detailed procedure to find GCD of 840, 243, 57, 449?

You can find a detailed procedure to find GCD of 840, 243, 57, 449 on our page.

3. How to find GCD of 840, 243, 57, 449 on a calculator?

You can find the GCD of 840, 243, 57, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.