GCD of 408, 889, 426 Calculator

Given Input numbers are 408, 889, 426

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 408, 889, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 889, 426 is 1.

Therefore, GCD of numbers 408, 889, 426 is 1

Given Input Data is 408, 889, 426

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 889 is 7 x 127

Prime Factorization of 426 is 2 x 3 x 71

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, 889) = 362712

GCD(408, 889) = ( 408 x 889 ) / 362712

GCD(408, 889) = 362712 / 362712

GCD(408, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 408, 889, 426 is 1

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1. What is the GCD of 408, 889, 426?

GCD of 408, 889, 426 is 1

2. Where do I get the detailed procedure to find GCD of 408, 889, 426?

You can find a detailed procedure to find GCD of 408, 889, 426 on our page.

3. How to find GCD of 408, 889, 426 on a calculator?

You can find the GCD of 408, 889, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.