GCD of 216, 536, 820 Calculator

Given Input numbers are 216, 536, 820

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

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 216, 536, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 536, 820 is 4.

Therefore, GCD of numbers 216, 536, 820 is 4

Given Input Data is 216, 536, 820

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

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 820 is 2 x 2 x 5 x 41

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(216, 536) = 14472

GCD(216, 536) = ( 216 x 536 ) / 14472

GCD(216, 536) = 115776 / 14472

GCD(216, 536) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 820

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

LCM(8, 820) = 1640

GCD(8, 820) = ( 8 x 820 ) / 1640

GCD(8, 820) = 6560 / 1640

GCD(8, 820) = 4

GCD of 216, 536, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 710, 612
• GCD of 703, 557, 272
• GCD of 749, 240, 887
• GCD of 902, 273, 679
• GCD of 458, 995, 131

1. What is the GCD of 216, 536, 820?

GCD of 216, 536, 820 is 4

2. Where do I get the detailed procedure to find GCD of 216, 536, 820?

You can find a detailed procedure to find GCD of 216, 536, 820 on our page.

3. How to find GCD of 216, 536, 820 on a calculator?

You can find the GCD of 216, 536, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.