GCD of 534, 825, 82 Calculator

Given Input numbers are 534, 825, 82

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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 82

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

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 534, 825, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 825, 82 is 1.

Therefore, GCD of numbers 534, 825, 82 is 1

Given Input Data is 534, 825, 82

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

Prime Factorization of 534 is 2 x 3 x 89

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

Prime Factorization of 82 is 2 x 41

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(534, 825) = 146850

GCD(534, 825) = ( 534 x 825 ) / 146850

GCD(534, 825) = 440550 / 146850

GCD(534, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 82

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

LCM(3, 82) = 246

GCD(3, 82) = ( 3 x 82 ) / 246

GCD(3, 82) = 246 / 246

GCD(3, 82) = 1

GCD of 534, 825, 82 is 1

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1. What is the GCD of 534, 825, 82?

GCD of 534, 825, 82 is 1

2. Where do I get the detailed procedure to find GCD of 534, 825, 82?

You can find a detailed procedure to find GCD of 534, 825, 82 on our page.

3. How to find GCD of 534, 825, 82 on a calculator?

You can find the GCD of 534, 825, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.