GCD of 748, 187, 585 Calculator

Given Input numbers are 748, 187, 585

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

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

Greatest Common Divisior

We found the divisors of 748, 187, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 187, 585 is 1.

Therefore, GCD of numbers 748, 187, 585 is 1

Given Input Data is 748, 187, 585

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 187 is 11 x 17

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

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(748, 187) = 748

GCD(748, 187) = ( 748 x 187 ) / 748

GCD(748, 187) = 139876 / 748

GCD(748, 187) = 187

Step2:

Here we consider the GCD from the above i.e. 187 as first number and the next as 585

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

LCM(187, 585) = 109395

GCD(187, 585) = ( 187 x 585 ) / 109395

GCD(187, 585) = 109395 / 109395

GCD(187, 585) = 1

GCD of 748, 187, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 593, 158
• GCD of 847, 196, 112
• GCD of 692, 575, 107
• GCD of 816, 337, 880
• GCD of 628, 193, 924

1. What is the GCD of 748, 187, 585?

GCD of 748, 187, 585 is 1

2. Where do I get the detailed procedure to find GCD of 748, 187, 585?

You can find a detailed procedure to find GCD of 748, 187, 585 on our page.

3. How to find GCD of 748, 187, 585 on a calculator?

You can find the GCD of 748, 187, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.