Online GCD Calculator is useful to find the GCD of 54, 87, 30 quickly. Get the easiest ways to solve the greatest common divisor of 54, 87, 30 i.e 3 in different methods as follows.

Given Input numbers are 54, 87, 30

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

**Divisors of 54 :**

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

**Divisors of 87 :**

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

**Divisors of 30 :**

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

GCD of numbers is the greatest common divisor

** So, the GCD (54, 87, 30) = 3**.

Given numbers are 54, 87, 30

The list of prime factors of all numbers are

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 87 are 3 x 29

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 3^{1}

**Therefore, GCD of 54, 87, 30 is 3.**

Given numbers are 54, 87, 30

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

Apply this formula for all numbers.

**Step1:**

LCM(54, 87) = 1566

GCD(54, 87) = ( 54 x 87 ) / 1566

= 54 / 87

= 54

**Step2:**

LCM(3, 30) = 30

GCD(3, 30) = ( 3 x 30 ) / 30

= 3 / 30

= 3

**So, Greatest Common Divisor of 54, 87, 30 is 3**

Here are some samples of GCD of Numbers calculations.

Given numbers are 54, 87, 30

The greatest common divisor of numbers 54, 87, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 54, 87, 30 is 3.

**1. What is the GCD of 54, 87, 30?**

GCD of given numbers 54, 87, 30 is 3

**2. How to calculate the greatest common divisor of 54, 87, 30?**

We can find the highest common divisor of 54, 87, 30 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 54, 87, 30 i.e 3.

**3. How can I use the GCD of 54, 87, 30Calculator?**

Out the numbers 54, 87, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.