GCD of 861, 422, 789 Calculator

Given Input numbers are 861, 422, 789

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 (861, 422, 789) = 1.

Given numbers are 861, 422, 789

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 422 are 2 x 211

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 861, 422, 789

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

Apply this formula for all numbers.

Step1:

LCM(861, 422) = 363342

GCD(861, 422) = ( 861 x 422 ) / 363342

= 861 / 422

= 861

Step2:

LCM(1, 789) = 789

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

= 1 / 789

= 1

So, Greatest Common Divisor of 861, 422, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 735, 260
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Given numbers are 861, 422, 789
The greatest common divisor of numbers 861, 422, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 422, 789 is 1.

1. What is the GCD of 861, 422, 789?

GCD of given numbers 861, 422, 789 is 1

2. How to calculate the greatest common divisor of 861, 422, 789?

We can find the highest common divisor of 861, 422, 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 861, 422, 789 i.e 1.

3. How can I use the GCD of 861, 422, 789Calculator?

Out the numbers 861, 422, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.