GCD of 789, 336, 999, 972 Calculator

Given Input numbers are 789, 336, 999, 972

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

Divisors of 789 :

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

1, 3, 263, 789

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (789, 336, 999, 972) = 3.

Given numbers are 789, 336, 999, 972

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 789, 336, 999, 972 is 3.

Given numbers are 789, 336, 999, 972

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

Apply this formula for all numbers.

Step1:

LCM(789, 336) = 88368

GCD(789, 336) = ( 789 x 336 ) / 88368

= 789 / 336

= 789

Step2:

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

= 3 / 999

= 3

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 789, 336, 999, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 417, 166, 534
• GCD of 116, 535, 725, 790
• GCD of 360, 937, 300, 688
• GCD of 288, 757, 862, 399
• GCD of 697, 587, 370, 189

Given numbers are 789, 336, 999, 972
The greatest common divisor of numbers 789, 336, 999, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 336, 999, 972 is 3.

1. What is the GCD of 789, 336, 999, 972?

GCD of given numbers 789, 336, 999, 972 is 3

2. How to calculate the greatest common divisor of 789, 336, 999, 972?

We can find the highest common divisor of 789, 336, 999, 972 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 789, 336, 999, 972 i.e 3.

3. How can I use the GCD of 789, 336, 999, 972Calculator?

Out the numbers 789, 336, 999, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.