GCD of 423, 516, 465, 193 Calculator

Given Input numbers are 423, 516, 465, 193

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 423, 516, 465, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 516, 465, 193 is 1.

Therefore, GCD of numbers 423, 516, 465, 193 is 1

Given Input Data is 423, 516, 465, 193

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 193 is 193

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(423, 516) = 72756

GCD(423, 516) = ( 423 x 516 ) / 72756

GCD(423, 516) = 218268 / 72756

GCD(423, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 465

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

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

GCD(3, 465) = 1395 / 465

GCD(3, 465) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 193

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

LCM(3, 193) = 579

GCD(3, 193) = ( 3 x 193 ) / 579

GCD(3, 193) = 579 / 579

GCD(3, 193) = 1

GCD of 423, 516, 465, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 981, 466, 676
• GCD of 890, 748, 383, 205
• GCD of 466, 389, 416, 833
• GCD of 380, 809, 380, 975
• GCD of 917, 701, 385, 118

1. What is the GCD of 423, 516, 465, 193?

GCD of 423, 516, 465, 193 is 1

2. Where do I get the detailed procedure to find GCD of 423, 516, 465, 193?

You can find a detailed procedure to find GCD of 423, 516, 465, 193 on our page.

3. How to find GCD of 423, 516, 465, 193 on a calculator?

You can find the GCD of 423, 516, 465, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.