GCD of 407, 315, 889 Calculator

Given Input numbers are 407, 315, 889

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 889

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

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 407, 315, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 315, 889 is 1.

Therefore, GCD of numbers 407, 315, 889 is 1

Given Input Data is 407, 315, 889

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 889 is 7 x 127

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(407, 315) = 128205

GCD(407, 315) = ( 407 x 315 ) / 128205

GCD(407, 315) = 128205 / 128205

GCD(407, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 407, 315, 889 is 1

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1. What is the GCD of 407, 315, 889?

GCD of 407, 315, 889 is 1

2. Where do I get the detailed procedure to find GCD of 407, 315, 889?

You can find a detailed procedure to find GCD of 407, 315, 889 on our page.

3. How to find GCD of 407, 315, 889 on a calculator?

You can find the GCD of 407, 315, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.