GCD of 854, 189, 407 Calculator

Given Input numbers are 854, 189, 407

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

Divisors of 854

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

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 407

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

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 854, 189, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 189, 407 is 1.

Therefore, GCD of numbers 854, 189, 407 is 1

Given Input Data is 854, 189, 407

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 407 is 11 x 37

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(854, 189) = 23058

GCD(854, 189) = ( 854 x 189 ) / 23058

GCD(854, 189) = 161406 / 23058

GCD(854, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 407

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

LCM(7, 407) = 2849

GCD(7, 407) = ( 7 x 407 ) / 2849

GCD(7, 407) = 2849 / 2849

GCD(7, 407) = 1

GCD of 854, 189, 407 is 1

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1. What is the GCD of 854, 189, 407?

GCD of 854, 189, 407 is 1

2. Where do I get the detailed procedure to find GCD of 854, 189, 407?

You can find a detailed procedure to find GCD of 854, 189, 407 on our page.

3. How to find GCD of 854, 189, 407 on a calculator?

You can find the GCD of 854, 189, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.