GCD of 408, 458, 843, 684 Calculator

Given Input numbers are 408, 458, 843, 684

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

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 408, 458, 843, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 458, 843, 684 is 1.

Therefore, GCD of numbers 408, 458, 843, 684 is 1

Given Input Data is 408, 458, 843, 684

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 458 is 2 x 229

Prime Factorization of 843 is 3 x 281

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(408, 458) = 93432

GCD(408, 458) = ( 408 x 458 ) / 93432

GCD(408, 458) = 186864 / 93432

GCD(408, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 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 408, 458, 843, 684 is 1

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1. What is the GCD of 408, 458, 843, 684?

GCD of 408, 458, 843, 684 is 1

2. Where do I get the detailed procedure to find GCD of 408, 458, 843, 684?

You can find a detailed procedure to find GCD of 408, 458, 843, 684 on our page.

3. How to find GCD of 408, 458, 843, 684 on a calculator?

You can find the GCD of 408, 458, 843, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.