GCD of 660, 729, 390, 117 Calculator

Given Input numbers are 660, 729, 390, 117

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (660, 729, 390, 117) = 3.

Given numbers are 660, 729, 390, 117

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 660, 729, 390, 117 is 3.

Given numbers are 660, 729, 390, 117

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

Apply this formula for all numbers.

Step1:

LCM(660, 729) = 160380

GCD(660, 729) = ( 660 x 729 ) / 160380

= 660 / 729

= 660

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 660, 729, 390, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 557, 923, 262
• GCD of 967, 656, 252, 667
• GCD of 865, 500, 618, 957
• GCD of 108, 821, 486, 173
• GCD of 335, 515, 621, 392

Given numbers are 660, 729, 390, 117
The greatest common divisor of numbers 660, 729, 390, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 729, 390, 117 is 3.

1. What is the GCD of 660, 729, 390, 117?

GCD of given numbers 660, 729, 390, 117 is 3

2. How to calculate the greatest common divisor of 660, 729, 390, 117?

We can find the highest common divisor of 660, 729, 390, 117 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 660, 729, 390, 117 i.e 3.

3. How can I use the GCD of 660, 729, 390, 117Calculator?

Out the numbers 660, 729, 390, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.