GCD of 983, 253, 916, 459 Calculator

Given Input numbers are 983, 253, 916, 459

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 983, 253, 916, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 253, 916, 459 is 1.

Therefore, GCD of numbers 983, 253, 916, 459 is 1

Given Input Data is 983, 253, 916, 459

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

Prime Factorization of 983 is 983

Prime Factorization of 253 is 11 x 23

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(983, 253) = 248699

GCD(983, 253) = ( 983 x 253 ) / 248699

GCD(983, 253) = 248699 / 248699

GCD(983, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 983, 253, 916, 459 is 1

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1. What is the GCD of 983, 253, 916, 459?

GCD of 983, 253, 916, 459 is 1

2. Where do I get the detailed procedure to find GCD of 983, 253, 916, 459?

You can find a detailed procedure to find GCD of 983, 253, 916, 459 on our page.

3. How to find GCD of 983, 253, 916, 459 on a calculator?

You can find the GCD of 983, 253, 916, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.