GCD of 14, 185, 800, 655 Calculator

Given Input numbers are 14, 185, 800, 655

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 14, 185, 800, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 185, 800, 655 is 1.

Therefore, GCD of numbers 14, 185, 800, 655 is 1

Given Input Data is 14, 185, 800, 655

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 185 is 5 x 37

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 655 is 5 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(14, 185) = 2590

GCD(14, 185) = ( 14 x 185 ) / 2590

GCD(14, 185) = 2590 / 2590

GCD(14, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 14, 185, 800, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 847, 403, 432
• GCD of 22, 201, 892, 454
• GCD of 16, 936, 645, 289
• GCD of 45, 415, 614, 353
• GCD of 27, 773, 188, 950

1. What is the GCD of 14, 185, 800, 655?

GCD of 14, 185, 800, 655 is 1

2. Where do I get the detailed procedure to find GCD of 14, 185, 800, 655?

You can find a detailed procedure to find GCD of 14, 185, 800, 655 on our page.

3. How to find GCD of 14, 185, 800, 655 on a calculator?

You can find the GCD of 14, 185, 800, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.