GCD of 371, 982, 264, 823 Calculator

Given Input numbers are 371, 982, 264, 823

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 371, 982, 264, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 982, 264, 823 is 1.

Therefore, GCD of numbers 371, 982, 264, 823 is 1

Given Input Data is 371, 982, 264, 823

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 982 is 2 x 491

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(371, 982) = 364322

GCD(371, 982) = ( 371 x 982 ) / 364322

GCD(371, 982) = 364322 / 364322

GCD(371, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 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 371, 982, 264, 823 is 1

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1. What is the GCD of 371, 982, 264, 823?

GCD of 371, 982, 264, 823 is 1

2. Where do I get the detailed procedure to find GCD of 371, 982, 264, 823?

You can find a detailed procedure to find GCD of 371, 982, 264, 823 on our page.

3. How to find GCD of 371, 982, 264, 823 on a calculator?

You can find the GCD of 371, 982, 264, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.