GCD of 271, 282, 972, 823 Calculator

Given Input numbers are 271, 282, 972, 823

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

Divisors of 271

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

1, 271

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 271, 282, 972, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 282, 972, 823 is 1.

Therefore, GCD of numbers 271, 282, 972, 823 is 1

Given Input Data is 271, 282, 972, 823

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

Prime Factorization of 271 is 271

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 823 is 823

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(271, 282) = 76422

GCD(271, 282) = ( 271 x 282 ) / 76422

GCD(271, 282) = 76422 / 76422

GCD(271, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 271, 282, 972, 823 is 1

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1. What is the GCD of 271, 282, 972, 823?

GCD of 271, 282, 972, 823 is 1

2. Where do I get the detailed procedure to find GCD of 271, 282, 972, 823?

You can find a detailed procedure to find GCD of 271, 282, 972, 823 on our page.

3. How to find GCD of 271, 282, 972, 823 on a calculator?

You can find the GCD of 271, 282, 972, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.