GCD of 813, 306, 861 Calculator

Given Input numbers are 813, 306, 861

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

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

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 861 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (813, 306, 861) = 3.

Given numbers are 813, 306, 861

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

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

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 813, 306, 861 is 3.

Given numbers are 813, 306, 861

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

Apply this formula for all numbers.

Step1:

LCM(813, 306) = 82926

GCD(813, 306) = ( 813 x 306 ) / 82926

= 813 / 306

= 813

Step2:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 813, 306, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 741, 622
• GCD of 255, 122, 425
• GCD of 718, 799, 299
• GCD of 833, 304, 873
• GCD of 193, 553, 922

Given numbers are 813, 306, 861
The greatest common divisor of numbers 813, 306, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 306, 861 is 3.

1. What is the GCD of 813, 306, 861?

GCD of given numbers 813, 306, 861 is 3

2. How to calculate the greatest common divisor of 813, 306, 861?

We can find the highest common divisor of 813, 306, 861 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 813, 306, 861 i.e 3.

3. How can I use the GCD of 813, 306, 861Calculator?

Out the numbers 813, 306, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.