GCD of 900, 678, 845, 486 Calculator

Given Input numbers are 900, 678, 845, 486

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 900, 678, 845, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 678, 845, 486 is 1.

Therefore, GCD of numbers 900, 678, 845, 486 is 1

Given Input Data is 900, 678, 845, 486

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 678 is 2 x 3 x 113

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 678) = 101700

GCD(900, 678) = ( 900 x 678 ) / 101700

GCD(900, 678) = 610200 / 101700

GCD(900, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 845

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

LCM(6, 845) = 5070

GCD(6, 845) = ( 6 x 845 ) / 5070

GCD(6, 845) = 5070 / 5070

GCD(6, 845) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 900, 678, 845, 486 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 436, 746, 162
• GCD of 587, 348, 559, 631
• GCD of 943, 882, 734, 750
• GCD of 645, 113, 120, 838
• GCD of 515, 105, 875, 337

1. What is the GCD of 900, 678, 845, 486?

GCD of 900, 678, 845, 486 is 1

2. Where do I get the detailed procedure to find GCD of 900, 678, 845, 486?

You can find a detailed procedure to find GCD of 900, 678, 845, 486 on our page.

3. How to find GCD of 900, 678, 845, 486 on a calculator?

You can find the GCD of 900, 678, 845, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.