GCD of 983, 253, 53, 872 Calculator

Given Input numbers are 983, 253, 53, 872

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 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 983, 253, 53, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 253, 53, 872 is 1.

Therefore, GCD of numbers 983, 253, 53, 872 is 1

Given Input Data is 983, 253, 53, 872

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 53 is 53

Prime Factorization of 872 is 2 x 2 x 2 x 109

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 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 983, 253, 53, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 302, 39, 183
• GCD of 296, 721, 70, 740
• GCD of 133, 206, 32, 882
• GCD of 294, 550, 46, 916
• GCD of 728, 320, 85, 190

1. What is the GCD of 983, 253, 53, 872?

GCD of 983, 253, 53, 872 is 1

2. Where do I get the detailed procedure to find GCD of 983, 253, 53, 872?

You can find a detailed procedure to find GCD of 983, 253, 53, 872 on our page.

3. How to find GCD of 983, 253, 53, 872 on a calculator?

You can find the GCD of 983, 253, 53, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.