GCD of 73, 525, 323, 258 Calculator

Given Input numbers are 73, 525, 323, 258

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 73, 525, 323, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 525, 323, 258 is 1.

Therefore, GCD of numbers 73, 525, 323, 258 is 1

Given Input Data is 73, 525, 323, 258

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

Prime Factorization of 73 is 73

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 258 is 2 x 3 x 43

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(73, 525) = 38325

GCD(73, 525) = ( 73 x 525 ) / 38325

GCD(73, 525) = 38325 / 38325

GCD(73, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 323

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

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

GCD(1, 323) = 323 / 323

GCD(1, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 73, 525, 323, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 435, 214, 536
• GCD of 46, 549, 794, 279
• GCD of 26, 995, 865, 716
• GCD of 17, 502, 234, 380
• GCD of 61, 914, 782, 115

1. What is the GCD of 73, 525, 323, 258?

GCD of 73, 525, 323, 258 is 1

2. Where do I get the detailed procedure to find GCD of 73, 525, 323, 258?

You can find a detailed procedure to find GCD of 73, 525, 323, 258 on our page.

3. How to find GCD of 73, 525, 323, 258 on a calculator?

You can find the GCD of 73, 525, 323, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.