GCD of 483, 844, 331, 414 Calculator

Given Input numbers are 483, 844, 331, 414

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 483, 844, 331, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 844, 331, 414 is 1.

Therefore, GCD of numbers 483, 844, 331, 414 is 1

Given Input Data is 483, 844, 331, 414

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 331 is 331

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(483, 844) = 407652

GCD(483, 844) = ( 483 x 844 ) / 407652

GCD(483, 844) = 407652 / 407652

GCD(483, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 483, 844, 331, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 806, 743, 148
• GCD of 466, 156, 963, 910
• GCD of 158, 850, 353, 691
• GCD of 324, 349, 396, 717
• GCD of 837, 154, 610, 228

1. What is the GCD of 483, 844, 331, 414?

GCD of 483, 844, 331, 414 is 1

2. Where do I get the detailed procedure to find GCD of 483, 844, 331, 414?

You can find a detailed procedure to find GCD of 483, 844, 331, 414 on our page.

3. How to find GCD of 483, 844, 331, 414 on a calculator?

You can find the GCD of 483, 844, 331, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.