GCD of 861, 666, 789, 312 Calculator

Given Input numbers are 861, 666, 789, 312

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (861, 666, 789, 312) = 3.

Given numbers are 861, 666, 789, 312

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 789 are 3 x 263

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 861, 666, 789, 312 is 3.

Given numbers are 861, 666, 789, 312

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

Apply this formula for all numbers.

Step1:

LCM(861, 666) = 191142

GCD(861, 666) = ( 861 x 666 ) / 191142

= 861 / 666

= 861

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 861, 666, 789, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 415, 703, 398
• GCD of 651, 670, 543, 881
• GCD of 538, 368, 635, 670
• GCD of 637, 158, 516, 447
• GCD of 738, 383, 980, 837

Given numbers are 861, 666, 789, 312
The greatest common divisor of numbers 861, 666, 789, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 666, 789, 312 is 3.

1. What is the GCD of 861, 666, 789, 312?

GCD of given numbers 861, 666, 789, 312 is 3

2. How to calculate the greatest common divisor of 861, 666, 789, 312?

We can find the highest common divisor of 861, 666, 789, 312 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, 666, 789, 312 i.e 3.

3. How can I use the GCD of 861, 666, 789, 312Calculator?

Out the numbers 861, 666, 789, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.