GCD of 900, 234, 73, 878 Calculator

Given Input numbers are 900, 234, 73, 878

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 900, 234, 73, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 234, 73, 878 is 1.

Therefore, GCD of numbers 900, 234, 73, 878 is 1

Given Input Data is 900, 234, 73, 878

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 73 is 73

Prime Factorization of 878 is 2 x 439

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(900, 234) = 11700

GCD(900, 234) = ( 900 x 234 ) / 11700

GCD(900, 234) = 210600 / 11700

GCD(900, 234) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 73

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

LCM(18, 73) = 1314

GCD(18, 73) = ( 18 x 73 ) / 1314

GCD(18, 73) = 1314 / 1314

GCD(18, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 900, 234, 73, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 960, 33, 635
• GCD of 625, 885, 34, 945
• GCD of 831, 470, 44, 849
• GCD of 235, 801, 69, 898
• GCD of 586, 584, 45, 747

1. What is the GCD of 900, 234, 73, 878?

GCD of 900, 234, 73, 878 is 1

2. Where do I get the detailed procedure to find GCD of 900, 234, 73, 878?

You can find a detailed procedure to find GCD of 900, 234, 73, 878 on our page.

3. How to find GCD of 900, 234, 73, 878 on a calculator?

You can find the GCD of 900, 234, 73, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.