GCD of 120, 564, 219, 384 Calculator

Given Input numbers are 120, 564, 219, 384

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

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

GCD of numbers is the greatest common divisor

So, the GCD (120, 564, 219, 384) = 3.

Given numbers are 120, 564, 219, 384

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 219 are 3 x 73

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

The highest common occurrence is 3¹

Therefore, GCD of 120, 564, 219, 384 is 3.

Given numbers are 120, 564, 219, 384

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

Apply this formula for all numbers.

Step1:

LCM(120, 564) = 5640

GCD(120, 564) = ( 120 x 564 ) / 5640

= 120 / 564

= 120

Step2:

LCM(12, 219) = 876

GCD(12, 219) = ( 12 x 219 ) / 876

= 12 / 219

= 12

Step3:

LCM(3, 384) = 384

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

= 3 / 384

= 3

So, Greatest Common Divisor of 120, 564, 219, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 110, 590, 286
• GCD of 658, 589, 858, 799
• GCD of 184, 521, 365, 841
• GCD of 731, 959, 131, 562
• GCD of 263, 554, 490, 630

Given numbers are 120, 564, 219, 384
The greatest common divisor of numbers 120, 564, 219, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 564, 219, 384 is 3.

1. What is the GCD of 120, 564, 219, 384?

GCD of given numbers 120, 564, 219, 384 is 3

2. How to calculate the greatest common divisor of 120, 564, 219, 384?

We can find the highest common divisor of 120, 564, 219, 384 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 120, 564, 219, 384 i.e 3.

3. How can I use the GCD of 120, 564, 219, 384Calculator?

Out the numbers 120, 564, 219, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.