GCD of 150, 891, 57, 116 Calculator

Given Input numbers are 150, 891, 57, 116

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 150, 891, 57, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 891, 57, 116 is 1.

Therefore, GCD of numbers 150, 891, 57, 116 is 1

Given Input Data is 150, 891, 57, 116

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 116 is 2 x 2 x 29

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(150, 891) = 44550

GCD(150, 891) = ( 150 x 891 ) / 44550

GCD(150, 891) = 133650 / 44550

GCD(150, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 116

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

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

GCD(3, 116) = 348 / 348

GCD(3, 116) = 1

GCD of 150, 891, 57, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 871, 44, 529
• GCD of 440, 774, 95, 202
• GCD of 612, 591, 17, 699
• GCD of 462, 709, 10, 112
• GCD of 983, 479, 56, 593

1. What is the GCD of 150, 891, 57, 116?

GCD of 150, 891, 57, 116 is 1

2. Where do I get the detailed procedure to find GCD of 150, 891, 57, 116?

You can find a detailed procedure to find GCD of 150, 891, 57, 116 on our page.

3. How to find GCD of 150, 891, 57, 116 on a calculator?

You can find the GCD of 150, 891, 57, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.