GCD of 696, 488, 515, 215 Calculator

Given Input numbers are 696, 488, 515, 215

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

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

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 696, 488, 515, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 488, 515, 215 is 1.

Therefore, GCD of numbers 696, 488, 515, 215 is 1

Given Input Data is 696, 488, 515, 215

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

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 515 is 5 x 103

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(696, 488) = 42456

GCD(696, 488) = ( 696 x 488 ) / 42456

GCD(696, 488) = 339648 / 42456

GCD(696, 488) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 515

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

LCM(8, 515) = 4120

GCD(8, 515) = ( 8 x 515 ) / 4120

GCD(8, 515) = 4120 / 4120

GCD(8, 515) = 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 696, 488, 515, 215 is 1

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1. What is the GCD of 696, 488, 515, 215?

GCD of 696, 488, 515, 215 is 1

2. Where do I get the detailed procedure to find GCD of 696, 488, 515, 215?

You can find a detailed procedure to find GCD of 696, 488, 515, 215 on our page.

3. How to find GCD of 696, 488, 515, 215 on a calculator?

You can find the GCD of 696, 488, 515, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.