GCD of 708, 321, 40, 215 Calculator

Given Input numbers are 708, 321, 40, 215

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 708, 321, 40, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 321, 40, 215 is 1.

Therefore, GCD of numbers 708, 321, 40, 215 is 1

Given Input Data is 708, 321, 40, 215

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 321 is 3 x 107

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 215 is 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(708, 321) = 75756

GCD(708, 321) = ( 708 x 321 ) / 75756

GCD(708, 321) = 227268 / 75756

GCD(708, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 708, 321, 40, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 267, 71, 469
• GCD of 138, 387, 31, 888
• GCD of 449, 288, 64, 377
• GCD of 577, 573, 56, 939
• GCD of 583, 707, 40, 656

1. What is the GCD of 708, 321, 40, 215?

GCD of 708, 321, 40, 215 is 1

2. Where do I get the detailed procedure to find GCD of 708, 321, 40, 215?

You can find a detailed procedure to find GCD of 708, 321, 40, 215 on our page.

3. How to find GCD of 708, 321, 40, 215 on a calculator?

You can find the GCD of 708, 321, 40, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.