GCD of 306, 427, 789 Calculator

Given Input numbers are 306, 427, 789

In the factoring method, we have to find the divisors of all numbers

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (306, 427, 789) = 1.

Given numbers are 306, 427, 789

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 427 are 7 x 61

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 306, 427, 789

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(306, 427) = 130662

GCD(306, 427) = ( 306 x 427 ) / 130662

= 306 / 427

= 306

Step2:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

So, Greatest Common Divisor of 306, 427, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 995, 448
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• GCD of 572, 719, 919
• GCD of 893, 464, 425
• GCD of 864, 589, 540

Given numbers are 306, 427, 789
The greatest common divisor of numbers 306, 427, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 427, 789 is 1.

1. What is the GCD of 306, 427, 789?

GCD of given numbers 306, 427, 789 is 1

2. How to calculate the greatest common divisor of 306, 427, 789?

We can find the highest common divisor of 306, 427, 789 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 306, 427, 789 i.e 1.

3. How can I use the GCD of 306, 427, 789Calculator?

Out the numbers 306, 427, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.