GCD of 527, 271, 12, 983 Calculator

Given Input numbers are 527, 271, 12, 983

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 983

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

1, 983

Greatest Common Divisior

We found the divisors of 527, 271, 12, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 271, 12, 983 is 1.

Therefore, GCD of numbers 527, 271, 12, 983 is 1

Given Input Data is 527, 271, 12, 983

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 271 is 271

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 983 is 983

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(527, 271) = 142817

GCD(527, 271) = ( 527 x 271 ) / 142817

GCD(527, 271) = 142817 / 142817

GCD(527, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 527, 271, 12, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 985, 17, 560
• GCD of 468, 924, 17, 665
• GCD of 383, 777, 46, 470
• GCD of 325, 926, 49, 440
• GCD of 993, 784, 36, 698

1. What is the GCD of 527, 271, 12, 983?

GCD of 527, 271, 12, 983 is 1

2. Where do I get the detailed procedure to find GCD of 527, 271, 12, 983?

You can find a detailed procedure to find GCD of 527, 271, 12, 983 on our page.

3. How to find GCD of 527, 271, 12, 983 on a calculator?

You can find the GCD of 527, 271, 12, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.