GCD of 524, 345, 652 Calculator

Given Input numbers are 524, 345, 652

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 524, 345, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 345, 652 is 1.

Therefore, GCD of numbers 524, 345, 652 is 1

Given Input Data is 524, 345, 652

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 345 is 3 x 5 x 23

Prime Factorization of 652 is 2 x 2 x 163

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, 345) = 180780

GCD(524, 345) = ( 524 x 345 ) / 180780

GCD(524, 345) = 180780 / 180780

GCD(524, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 524, 345, 652 is 1

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1. What is the GCD of 524, 345, 652?

GCD of 524, 345, 652 is 1

2. Where do I get the detailed procedure to find GCD of 524, 345, 652?

You can find a detailed procedure to find GCD of 524, 345, 652 on our page.

3. How to find GCD of 524, 345, 652 on a calculator?

You can find the GCD of 524, 345, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.