GCD of 678, 410, 38, 899 Calculator

Given Input numbers are 678, 410, 38, 899

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 678, 410, 38, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 410, 38, 899 is 1.

Therefore, GCD of numbers 678, 410, 38, 899 is 1

Given Input Data is 678, 410, 38, 899

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 38 is 2 x 19

Prime Factorization of 899 is 29 x 31

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(678, 410) = 138990

GCD(678, 410) = ( 678 x 410 ) / 138990

GCD(678, 410) = 277980 / 138990

GCD(678, 410) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 678, 410, 38, 899 is 1

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1. What is the GCD of 678, 410, 38, 899?

GCD of 678, 410, 38, 899 is 1

2. Where do I get the detailed procedure to find GCD of 678, 410, 38, 899?

You can find a detailed procedure to find GCD of 678, 410, 38, 899 on our page.

3. How to find GCD of 678, 410, 38, 899 on a calculator?

You can find the GCD of 678, 410, 38, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.