GCD of 789, 414, 407 Calculator

Given Input numbers are 789, 414, 407

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 789, 414, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 414, 407 is 1.

Therefore, GCD of numbers 789, 414, 407 is 1

Given Input Data is 789, 414, 407

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(789, 414) = 108882

GCD(789, 414) = ( 789 x 414 ) / 108882

GCD(789, 414) = 326646 / 108882

GCD(789, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 407

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

LCM(3, 407) = 1221

GCD(3, 407) = ( 3 x 407 ) / 1221

GCD(3, 407) = 1221 / 1221

GCD(3, 407) = 1

GCD of 789, 414, 407 is 1

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• GCD of 544, 119, 451
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• GCD of 722, 291, 460
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1. What is the GCD of 789, 414, 407?

GCD of 789, 414, 407 is 1

2. Where do I get the detailed procedure to find GCD of 789, 414, 407?

You can find a detailed procedure to find GCD of 789, 414, 407 on our page.

3. How to find GCD of 789, 414, 407 on a calculator?

You can find the GCD of 789, 414, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.