GCD of 668, 408, 89, 854 Calculator

Given Input numbers are 668, 408, 89, 854

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 668, 408, 89, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 408, 89, 854 is 1.

Therefore, GCD of numbers 668, 408, 89, 854 is 1

Given Input Data is 668, 408, 89, 854

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

Prime Factorization of 668 is 2 x 2 x 167

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

Prime Factorization of 89 is 89

Prime Factorization of 854 is 2 x 7 x 61

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(668, 408) = 68136

GCD(668, 408) = ( 668 x 408 ) / 68136

GCD(668, 408) = 272544 / 68136

GCD(668, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 668, 408, 89, 854 is 1

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• GCD of 725, 409, 67, 101
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1. What is the GCD of 668, 408, 89, 854?

GCD of 668, 408, 89, 854 is 1

2. Where do I get the detailed procedure to find GCD of 668, 408, 89, 854?

You can find a detailed procedure to find GCD of 668, 408, 89, 854 on our page.

3. How to find GCD of 668, 408, 89, 854 on a calculator?

You can find the GCD of 668, 408, 89, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.