GCD of 983, 565, 13, 958 Calculator

Given Input numbers are 983, 565, 13, 958

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 983, 565, 13, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 565, 13, 958 is 1.

Therefore, GCD of numbers 983, 565, 13, 958 is 1

Given Input Data is 983, 565, 13, 958

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

Prime Factorization of 983 is 983

Prime Factorization of 565 is 5 x 113

Prime Factorization of 13 is 13

Prime Factorization of 958 is 2 x 479

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, 565) = 555395

GCD(983, 565) = ( 983 x 565 ) / 555395

GCD(983, 565) = 555395 / 555395

GCD(983, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 983, 565, 13, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 379, 45, 488
• GCD of 535, 975, 10, 745
• GCD of 735, 697, 90, 722
• GCD of 898, 162, 10, 301
• GCD of 955, 985, 28, 163

1. What is the GCD of 983, 565, 13, 958?

GCD of 983, 565, 13, 958 is 1

2. Where do I get the detailed procedure to find GCD of 983, 565, 13, 958?

You can find a detailed procedure to find GCD of 983, 565, 13, 958 on our page.

3. How to find GCD of 983, 565, 13, 958 on a calculator?

You can find the GCD of 983, 565, 13, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.