GCD of 475, 723, 80, 524 Calculator

Given Input numbers are 475, 723, 80, 524

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 524

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

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 475, 723, 80, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 723, 80, 524 is 1.

Therefore, GCD of numbers 475, 723, 80, 524 is 1

Given Input Data is 475, 723, 80, 524

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 723 is 3 x 241

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 524 is 2 x 2 x 131

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(475, 723) = 343425

GCD(475, 723) = ( 475 x 723 ) / 343425

GCD(475, 723) = 343425 / 343425

GCD(475, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 475, 723, 80, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 377, 52, 418
• GCD of 542, 348, 21, 825
• GCD of 947, 557, 89, 543
• GCD of 250, 340, 42, 842
• GCD of 214, 770, 11, 666

1. What is the GCD of 475, 723, 80, 524?

GCD of 475, 723, 80, 524 is 1

2. Where do I get the detailed procedure to find GCD of 475, 723, 80, 524?

You can find a detailed procedure to find GCD of 475, 723, 80, 524 on our page.

3. How to find GCD of 475, 723, 80, 524 on a calculator?

You can find the GCD of 475, 723, 80, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.