GCD of 186, 721, 46, 413 Calculator

Given Input numbers are 186, 721, 46, 413

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 186, 721, 46, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 721, 46, 413 is 1.

Therefore, GCD of numbers 186, 721, 46, 413 is 1

Given Input Data is 186, 721, 46, 413

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 721 is 7 x 103

Prime Factorization of 46 is 2 x 23

Prime Factorization of 413 is 7 x 59

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(186, 721) = 134106

GCD(186, 721) = ( 186 x 721 ) / 134106

GCD(186, 721) = 134106 / 134106

GCD(186, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 186, 721, 46, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 266, 96, 790
• GCD of 662, 842, 15, 104
• GCD of 565, 829, 57, 888
• GCD of 433, 886, 50, 945
• GCD of 252, 174, 13, 644

1. What is the GCD of 186, 721, 46, 413?

GCD of 186, 721, 46, 413 is 1

2. Where do I get the detailed procedure to find GCD of 186, 721, 46, 413?

You can find a detailed procedure to find GCD of 186, 721, 46, 413 on our page.

3. How to find GCD of 186, 721, 46, 413 on a calculator?

You can find the GCD of 186, 721, 46, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.