GCD of 646, 114, 188, 249 Calculator

Given Input numbers are 646, 114, 188, 249

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 646, 114, 188, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 114, 188, 249 is 1.

Therefore, GCD of numbers 646, 114, 188, 249 is 1

Given Input Data is 646, 114, 188, 249

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 249 is 3 x 83

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(646, 114) = 1938

GCD(646, 114) = ( 646 x 114 ) / 1938

GCD(646, 114) = 73644 / 1938

GCD(646, 114) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 188

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

LCM(38, 188) = 3572

GCD(38, 188) = ( 38 x 188 ) / 3572

GCD(38, 188) = 7144 / 3572

GCD(38, 188) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 249

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

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

GCD(2, 249) = 498 / 498

GCD(2, 249) = 1

GCD of 646, 114, 188, 249 is 1

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1. What is the GCD of 646, 114, 188, 249?

GCD of 646, 114, 188, 249 is 1

2. Where do I get the detailed procedure to find GCD of 646, 114, 188, 249?

You can find a detailed procedure to find GCD of 646, 114, 188, 249 on our page.

3. How to find GCD of 646, 114, 188, 249 on a calculator?

You can find the GCD of 646, 114, 188, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.