GCD of 362, 687, 475 Calculator

Given Input numbers are 362, 687, 475

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 362, 687, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 687, 475 is 1.

Therefore, GCD of numbers 362, 687, 475 is 1

Given Input Data is 362, 687, 475

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 687 is 3 x 229

Prime Factorization of 475 is 5 x 5 x 19

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(362, 687) = 248694

GCD(362, 687) = ( 362 x 687 ) / 248694

GCD(362, 687) = 248694 / 248694

GCD(362, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 362, 687, 475 is 1

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1. What is the GCD of 362, 687, 475?

GCD of 362, 687, 475 is 1

2. Where do I get the detailed procedure to find GCD of 362, 687, 475?

You can find a detailed procedure to find GCD of 362, 687, 475 on our page.

3. How to find GCD of 362, 687, 475 on a calculator?

You can find the GCD of 362, 687, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.