GCD of 823, 825, 56, 182 Calculator

Given Input numbers are 823, 825, 56, 182

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 823, 825, 56, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 825, 56, 182 is 1.

Therefore, GCD of numbers 823, 825, 56, 182 is 1

Given Input Data is 823, 825, 56, 182

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

Prime Factorization of 823 is 823

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 182 is 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(823, 825) = 678975

GCD(823, 825) = ( 823 x 825 ) / 678975

GCD(823, 825) = 678975 / 678975

GCD(823, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 823, 825, 56, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 271, 12, 979
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• GCD of 187, 133, 69, 788
• GCD of 727, 703, 55, 261

1. What is the GCD of 823, 825, 56, 182?

GCD of 823, 825, 56, 182 is 1

2. Where do I get the detailed procedure to find GCD of 823, 825, 56, 182?

You can find a detailed procedure to find GCD of 823, 825, 56, 182 on our page.

3. How to find GCD of 823, 825, 56, 182 on a calculator?

You can find the GCD of 823, 825, 56, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.