GCD of 390, 447, 960, 111 Calculator

Given Input numbers are 390, 447, 960, 111

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

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

GCD of numbers is the greatest common divisor

So, the GCD (390, 447, 960, 111) = 3.

Given numbers are 390, 447, 960, 111

The list of prime factors of all numbers are

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

Prime factors of 447 are 3 x 149

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 111 are 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 390, 447, 960, 111 is 3.

Given numbers are 390, 447, 960, 111

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

Apply this formula for all numbers.

Step1:

LCM(390, 447) = 58110

GCD(390, 447) = ( 390 x 447 ) / 58110

= 390 / 447

= 390

Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

Step3:

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

= 3 / 111

= 3

So, Greatest Common Divisor of 390, 447, 960, 111 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 434, 161, 820
• GCD of 206, 550, 231, 666
• GCD of 703, 789, 962, 748
• GCD of 411, 589, 671, 140
• GCD of 863, 817, 401, 311

Given numbers are 390, 447, 960, 111
The greatest common divisor of numbers 390, 447, 960, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 447, 960, 111 is 3.

1. What is the GCD of 390, 447, 960, 111?

GCD of given numbers 390, 447, 960, 111 is 3

2. How to calculate the greatest common divisor of 390, 447, 960, 111?

We can find the highest common divisor of 390, 447, 960, 111 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 390, 447, 960, 111 i.e 3.

3. How can I use the GCD of 390, 447, 960, 111Calculator?

Out the numbers 390, 447, 960, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.