GCD of 111, 360, 384, 579 Calculator

Given Input numbers are 111, 360, 384, 579

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

Divisors of 111 :

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

1, 3, 37, 111

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

GCD of numbers is the greatest common divisor

So, the GCD (111, 360, 384, 579) = 3.

Given numbers are 111, 360, 384, 579

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 579 are 3 x 193

The highest common occurrence is 3¹

Therefore, GCD of 111, 360, 384, 579 is 3.

Given numbers are 111, 360, 384, 579

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

Apply this formula for all numbers.

Step1:

LCM(111, 360) = 13320

GCD(111, 360) = ( 111 x 360 ) / 13320

= 111 / 360

= 111

Step2:

LCM(3, 384) = 384

GCD(3, 384) = ( 3 x 384 ) / 384

= 3 / 384

= 3

Step3:

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

= 3 / 579

= 3

So, Greatest Common Divisor of 111, 360, 384, 579 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 849, 469, 275
• GCD of 404, 316, 773, 853
• GCD of 319, 114, 411, 702
• GCD of 624, 917, 930, 437
• GCD of 789, 444, 512, 547

Given numbers are 111, 360, 384, 579
The greatest common divisor of numbers 111, 360, 384, 579 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 360, 384, 579 is 3.

1. What is the GCD of 111, 360, 384, 579?

GCD of given numbers 111, 360, 384, 579 is 3

2. How to calculate the greatest common divisor of 111, 360, 384, 579?

We can find the highest common divisor of 111, 360, 384, 579 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 111, 360, 384, 579 i.e 3.

3. How can I use the GCD of 111, 360, 384, 579Calculator?

Out the numbers 111, 360, 384, 579 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.