GCD of 897, 150, 18, 882 Calculator

Given Input numbers are 897, 150, 18, 882

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 897, 150, 18, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 150, 18, 882 is 3.

Therefore, GCD of numbers 897, 150, 18, 882 is 3

Given Input Data is 897, 150, 18, 882

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

Prime Factorization of 897 is 3 x 13 x 23

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(897, 150) = 44850

GCD(897, 150) = ( 897 x 150 ) / 44850

GCD(897, 150) = 134550 / 44850

GCD(897, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 882

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

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

GCD(3, 882) = 2646 / 882

GCD(3, 882) = 3

GCD of 897, 150, 18, 882 is 3

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1. What is the GCD of 897, 150, 18, 882?

GCD of 897, 150, 18, 882 is 3

2. Where do I get the detailed procedure to find GCD of 897, 150, 18, 882?

You can find a detailed procedure to find GCD of 897, 150, 18, 882 on our page.

3. How to find GCD of 897, 150, 18, 882 on a calculator?

You can find the GCD of 897, 150, 18, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.