GCD of 824, 853, 76, 364 Calculator

Given Input numbers are 824, 853, 76, 364

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 853

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

1, 853

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 824, 853, 76, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 853, 76, 364 is 1.

Therefore, GCD of numbers 824, 853, 76, 364 is 1

Given Input Data is 824, 853, 76, 364

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 853 is 853

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(824, 853) = 702872

GCD(824, 853) = ( 824 x 853 ) / 702872

GCD(824, 853) = 702872 / 702872

GCD(824, 853) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 824, 853, 76, 364 is 1

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• GCD of 961, 151, 92, 788
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1. What is the GCD of 824, 853, 76, 364?

GCD of 824, 853, 76, 364 is 1

2. Where do I get the detailed procedure to find GCD of 824, 853, 76, 364?

You can find a detailed procedure to find GCD of 824, 853, 76, 364 on our page.

3. How to find GCD of 824, 853, 76, 364 on a calculator?

You can find the GCD of 824, 853, 76, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.