GCD of 823, 628, 82, 853 Calculator

Given Input numbers are 823, 628, 82, 853

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

Divisors of 823

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

1, 823

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 823, 628, 82, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 628, 82, 853 is 1.

Therefore, GCD of numbers 823, 628, 82, 853 is 1

Given Input Data is 823, 628, 82, 853

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

Prime Factorization of 823 is 823

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 82 is 2 x 41

Prime Factorization of 853 is 853

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(823, 628) = 516844

GCD(823, 628) = ( 823 x 628 ) / 516844

GCD(823, 628) = 516844 / 516844

GCD(823, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 823, 628, 82, 853 is 1

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1. What is the GCD of 823, 628, 82, 853?

GCD of 823, 628, 82, 853 is 1

2. Where do I get the detailed procedure to find GCD of 823, 628, 82, 853?

You can find a detailed procedure to find GCD of 823, 628, 82, 853 on our page.

3. How to find GCD of 823, 628, 82, 853 on a calculator?

You can find the GCD of 823, 628, 82, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.