GCD of 180, 844, 679, 800 Calculator

Given Input numbers are 180, 844, 679, 800

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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

Greatest Common Divisior

We found the divisors of 180, 844, 679, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 844, 679, 800 is 1.

Therefore, GCD of numbers 180, 844, 679, 800 is 1

Given Input Data is 180, 844, 679, 800

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 679 is 7 x 97

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

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(180, 844) = 37980

GCD(180, 844) = ( 180 x 844 ) / 37980

GCD(180, 844) = 151920 / 37980

GCD(180, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 679

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

LCM(4, 679) = 2716

GCD(4, 679) = ( 4 x 679 ) / 2716

GCD(4, 679) = 2716 / 2716

GCD(4, 679) = 1

Step3:

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

GCD of 180, 844, 679, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 982, 176, 215
• GCD of 949, 599, 190, 270
• GCD of 203, 845, 516, 672
• GCD of 668, 671, 813, 823
• GCD of 460, 758, 913, 667

1. What is the GCD of 180, 844, 679, 800?

GCD of 180, 844, 679, 800 is 1

2. Where do I get the detailed procedure to find GCD of 180, 844, 679, 800?

You can find a detailed procedure to find GCD of 180, 844, 679, 800 on our page.

3. How to find GCD of 180, 844, 679, 800 on a calculator?

You can find the GCD of 180, 844, 679, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.