GCD of 87, 546, 285, 216 Calculator

Given Input numbers are 87, 546, 285, 216

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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

Greatest Common Divisior

We found the divisors of 87, 546, 285, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 546, 285, 216 is 3.

Therefore, GCD of numbers 87, 546, 285, 216 is 3

Given Input Data is 87, 546, 285, 216

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 285 is 3 x 5 x 19

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

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(87, 546) = 15834

GCD(87, 546) = ( 87 x 546 ) / 15834

GCD(87, 546) = 47502 / 15834

GCD(87, 546) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 285

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

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

GCD(3, 285) = 855 / 285

GCD(3, 285) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 216

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

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

GCD(3, 216) = 648 / 216

GCD(3, 216) = 3

GCD of 87, 546, 285, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 961, 780, 157
• GCD of 24, 742, 986, 329
• GCD of 65, 612, 128, 218
• GCD of 45, 149, 287, 853
• GCD of 98, 586, 344, 158

1. What is the GCD of 87, 546, 285, 216?

GCD of 87, 546, 285, 216 is 3

2. Where do I get the detailed procedure to find GCD of 87, 546, 285, 216?

You can find a detailed procedure to find GCD of 87, 546, 285, 216 on our page.

3. How to find GCD of 87, 546, 285, 216 on a calculator?

You can find the GCD of 87, 546, 285, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.