GCD of 52, 687, 214, 684 Calculator

Given Input numbers are 52, 687, 214, 684

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 52, 687, 214, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 687, 214, 684 is 1.

Therefore, GCD of numbers 52, 687, 214, 684 is 1

Given Input Data is 52, 687, 214, 684

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 687 is 3 x 229

Prime Factorization of 214 is 2 x 107

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(52, 687) = 35724

GCD(52, 687) = ( 52 x 687 ) / 35724

GCD(52, 687) = 35724 / 35724

GCD(52, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 52, 687, 214, 684 is 1

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1. What is the GCD of 52, 687, 214, 684?

GCD of 52, 687, 214, 684 is 1

2. Where do I get the detailed procedure to find GCD of 52, 687, 214, 684?

You can find a detailed procedure to find GCD of 52, 687, 214, 684 on our page.

3. How to find GCD of 52, 687, 214, 684 on a calculator?

You can find the GCD of 52, 687, 214, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.