GCD of 920, 409, 483, 614 Calculator

Given Input numbers are 920, 409, 483, 614

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 920, 409, 483, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 409, 483, 614 is 1.

Therefore, GCD of numbers 920, 409, 483, 614 is 1

Given Input Data is 920, 409, 483, 614

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 409 is 409

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 614 is 2 x 307

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(920, 409) = 376280

GCD(920, 409) = ( 920 x 409 ) / 376280

GCD(920, 409) = 376280 / 376280

GCD(920, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 483

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

LCM(1, 483) = 483

GCD(1, 483) = ( 1 x 483 ) / 483

GCD(1, 483) = 483 / 483

GCD(1, 483) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 920, 409, 483, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 119, 112, 733
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• GCD of 382, 766, 257, 386

1. What is the GCD of 920, 409, 483, 614?

GCD of 920, 409, 483, 614 is 1

2. Where do I get the detailed procedure to find GCD of 920, 409, 483, 614?

You can find a detailed procedure to find GCD of 920, 409, 483, 614 on our page.

3. How to find GCD of 920, 409, 483, 614 on a calculator?

You can find the GCD of 920, 409, 483, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.