GCD of 456, 403, 629, 684 Calculator

Given Input numbers are 456, 403, 629, 684

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

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 456, 403, 629, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 403, 629, 684 is 1.

Therefore, GCD of numbers 456, 403, 629, 684 is 1

Given Input Data is 456, 403, 629, 684

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

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 629 is 17 x 37

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(456, 403) = 183768

GCD(456, 403) = ( 456 x 403 ) / 183768

GCD(456, 403) = 183768 / 183768

GCD(456, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 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 456, 403, 629, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 944, 730, 666
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• GCD of 926, 403, 903, 165

1. What is the GCD of 456, 403, 629, 684?

GCD of 456, 403, 629, 684 is 1

2. Where do I get the detailed procedure to find GCD of 456, 403, 629, 684?

You can find a detailed procedure to find GCD of 456, 403, 629, 684 on our page.

3. How to find GCD of 456, 403, 629, 684 on a calculator?

You can find the GCD of 456, 403, 629, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.