GCD of 894, 216, 525, 888 Calculator

Given Input numbers are 894, 216, 525, 888

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 894, 216, 525, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 216, 525, 888 is 3.

Therefore, GCD of numbers 894, 216, 525, 888 is 3

Given Input Data is 894, 216, 525, 888

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(894, 216) = 32184

GCD(894, 216) = ( 894 x 216 ) / 32184

GCD(894, 216) = 193104 / 32184

GCD(894, 216) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 525

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

LCM(6, 525) = 1050

GCD(6, 525) = ( 6 x 525 ) / 1050

GCD(6, 525) = 3150 / 1050

GCD(6, 525) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 888

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

LCM(3, 888) = 888

GCD(3, 888) = ( 3 x 888 ) / 888

GCD(3, 888) = 2664 / 888

GCD(3, 888) = 3

GCD of 894, 216, 525, 888 is 3

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1. What is the GCD of 894, 216, 525, 888?

GCD of 894, 216, 525, 888 is 3

2. Where do I get the detailed procedure to find GCD of 894, 216, 525, 888?

You can find a detailed procedure to find GCD of 894, 216, 525, 888 on our page.

3. How to find GCD of 894, 216, 525, 888 on a calculator?

You can find the GCD of 894, 216, 525, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.