GCD of 525, 324, 302 Calculator

Given Input numbers are 525, 324, 302

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 525, 324, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 324, 302 is 1.

Therefore, GCD of numbers 525, 324, 302 is 1

Given Input Data is 525, 324, 302

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 302 is 2 x 151

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(525, 324) = 56700

GCD(525, 324) = ( 525 x 324 ) / 56700

GCD(525, 324) = 170100 / 56700

GCD(525, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 302

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

LCM(3, 302) = 906

GCD(3, 302) = ( 3 x 302 ) / 906

GCD(3, 302) = 906 / 906

GCD(3, 302) = 1

GCD of 525, 324, 302 is 1

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1. What is the GCD of 525, 324, 302?

GCD of 525, 324, 302 is 1

2. Where do I get the detailed procedure to find GCD of 525, 324, 302?

You can find a detailed procedure to find GCD of 525, 324, 302 on our page.

3. How to find GCD of 525, 324, 302 on a calculator?

You can find the GCD of 525, 324, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.