GCD of 84, 243, 696, 207 Calculator

Given Input numbers are 84, 243, 696, 207

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 84, 243, 696, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 243, 696, 207 is 3.

Therefore, GCD of numbers 84, 243, 696, 207 is 3

Given Input Data is 84, 243, 696, 207

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 207 is 3 x 3 x 23

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(84, 243) = 6804

GCD(84, 243) = ( 84 x 243 ) / 6804

GCD(84, 243) = 20412 / 6804

GCD(84, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

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

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 84, 243, 696, 207 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 903, 685, 371
• GCD of 57, 996, 237, 595
• GCD of 17, 434, 602, 216
• GCD of 87, 873, 871, 310
• GCD of 93, 227, 896, 174

1. What is the GCD of 84, 243, 696, 207?

GCD of 84, 243, 696, 207 is 3

2. Where do I get the detailed procedure to find GCD of 84, 243, 696, 207?

You can find a detailed procedure to find GCD of 84, 243, 696, 207 on our page.

3. How to find GCD of 84, 243, 696, 207 on a calculator?

You can find the GCD of 84, 243, 696, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.