GCD of 916, 413, 585, 901 Calculator

Given Input numbers are 916, 413, 585, 901

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 413

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

1, 7, 59, 413

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 916, 413, 585, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 413, 585, 901 is 1.

Therefore, GCD of numbers 916, 413, 585, 901 is 1

Given Input Data is 916, 413, 585, 901

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 413 is 7 x 59

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 901 is 17 x 53

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(916, 413) = 378308

GCD(916, 413) = ( 916 x 413 ) / 378308

GCD(916, 413) = 378308 / 378308

GCD(916, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 916, 413, 585, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 723, 904, 830
• GCD of 649, 898, 766, 750
• GCD of 212, 926, 601, 702
• GCD of 783, 787, 889, 660
• GCD of 775, 180, 619, 466

1. What is the GCD of 916, 413, 585, 901?

GCD of 916, 413, 585, 901 is 1

2. Where do I get the detailed procedure to find GCD of 916, 413, 585, 901?

You can find a detailed procedure to find GCD of 916, 413, 585, 901 on our page.

3. How to find GCD of 916, 413, 585, 901 on a calculator?

You can find the GCD of 916, 413, 585, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.