GCD of 524, 234, 83 Calculator

Given Input numbers are 524, 234, 83

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 524, 234, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 234, 83 is 1.

Therefore, GCD of numbers 524, 234, 83 is 1

Given Input Data is 524, 234, 83

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 83 is 83

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(524, 234) = 61308

GCD(524, 234) = ( 524 x 234 ) / 61308

GCD(524, 234) = 122616 / 61308

GCD(524, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

GCD of 524, 234, 83 is 1

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1. What is the GCD of 524, 234, 83?

GCD of 524, 234, 83 is 1

2. Where do I get the detailed procedure to find GCD of 524, 234, 83?

You can find a detailed procedure to find GCD of 524, 234, 83 on our page.

3. How to find GCD of 524, 234, 83 on a calculator?

You can find the GCD of 524, 234, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.