GCD of 702, 216, 52, 406 Calculator

Given Input numbers are 702, 216, 52, 406

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 702, 216, 52, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 216, 52, 406 is 2.

Therefore, GCD of numbers 702, 216, 52, 406 is 2

Given Input Data is 702, 216, 52, 406

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(702, 216) = 2808

GCD(702, 216) = ( 702 x 216 ) / 2808

GCD(702, 216) = 151632 / 2808

GCD(702, 216) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 52

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

LCM(54, 52) = 1404

GCD(54, 52) = ( 54 x 52 ) / 1404

GCD(54, 52) = 2808 / 1404

GCD(54, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 702, 216, 52, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 715, 13, 683
• GCD of 475, 466, 37, 898
• GCD of 971, 744, 21, 982
• GCD of 141, 572, 38, 695
• GCD of 720, 431, 88, 332

1. What is the GCD of 702, 216, 52, 406?

GCD of 702, 216, 52, 406 is 2

2. Where do I get the detailed procedure to find GCD of 702, 216, 52, 406?

You can find a detailed procedure to find GCD of 702, 216, 52, 406 on our page.

3. How to find GCD of 702, 216, 52, 406 on a calculator?

You can find the GCD of 702, 216, 52, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.