GCD of 159, 921, 983, 529 Calculator

Given Input numbers are 159, 921, 983, 529

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 983

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

1, 983

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 159, 921, 983, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 921, 983, 529 is 1.

Therefore, GCD of numbers 159, 921, 983, 529 is 1

Given Input Data is 159, 921, 983, 529

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 921 is 3 x 307

Prime Factorization of 983 is 983

Prime Factorization of 529 is 23 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(159, 921) = 48813

GCD(159, 921) = ( 159 x 921 ) / 48813

GCD(159, 921) = 146439 / 48813

GCD(159, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 983

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

LCM(3, 983) = 2949

GCD(3, 983) = ( 3 x 983 ) / 2949

GCD(3, 983) = 2949 / 2949

GCD(3, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 159, 921, 983, 529 is 1

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1. What is the GCD of 159, 921, 983, 529?

GCD of 159, 921, 983, 529 is 1

2. Where do I get the detailed procedure to find GCD of 159, 921, 983, 529?

You can find a detailed procedure to find GCD of 159, 921, 983, 529 on our page.

3. How to find GCD of 159, 921, 983, 529 on a calculator?

You can find the GCD of 159, 921, 983, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.