GCD of 10, 683, 456, 188 Calculator

Given Input numbers are 10, 683, 456, 188

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 188

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

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 10, 683, 456, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 683, 456, 188 is 1.

Therefore, GCD of numbers 10, 683, 456, 188 is 1

Given Input Data is 10, 683, 456, 188

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 683 is 683

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 188 is 2 x 2 x 47

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(10, 683) = 6830

GCD(10, 683) = ( 10 x 683 ) / 6830

GCD(10, 683) = 6830 / 6830

GCD(10, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 10, 683, 456, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 569, 511, 888
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• GCD of 14, 809, 200, 763
• GCD of 37, 750, 298, 640
• GCD of 23, 145, 854, 863

1. What is the GCD of 10, 683, 456, 188?

GCD of 10, 683, 456, 188 is 1

2. Where do I get the detailed procedure to find GCD of 10, 683, 456, 188?

You can find a detailed procedure to find GCD of 10, 683, 456, 188 on our page.

3. How to find GCD of 10, 683, 456, 188 on a calculator?

You can find the GCD of 10, 683, 456, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.