GCD of 18, 90, 36, 30 Calculator

Given Input numbers are 18, 90, 36, 30

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

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 (18, 90, 36, 30) = 6.

Given numbers are 18, 90, 36, 30

The list of prime factors of all numbers are

Prime factors of 18 are 2 x 3 x 3

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 30 are 2 x 3 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 18, 90, 36, 30 is 6.

Given numbers are 18, 90, 36, 30

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

Apply this formula for all numbers.

Step1:

LCM(18, 90) = 90

GCD(18, 90) = ( 18 x 90 ) / 90

= 18 / 90

= 18

Step2:

LCM(18, 36) = 36

GCD(18, 36) = ( 18 x 36 ) / 36

= 18 / 36

= 18

Step3:

LCM(18, 30) = 90

GCD(18, 30) = ( 18 x 30 ) / 90

= 18 / 30

= 18

So, Greatest Common Divisor of 18, 90, 36, 30 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 98, 40, 38
• GCD of 68, 31, 86, 34
• GCD of 67, 69, 65, 45
• GCD of 58, 83, 63, 90
• GCD of 32, 88, 92, 73

Given numbers are 18, 90, 36, 30
The greatest common divisor of numbers 18, 90, 36, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 18, 90, 36, 30 is 6.

1. What is the GCD of 18, 90, 36, 30?

GCD of given numbers 18, 90, 36, 30 is 6

2. How to calculate the greatest common divisor of 18, 90, 36, 30?

We can find the highest common divisor of 18, 90, 36, 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 18, 90, 36, 30 i.e 6.

3. How can I use the GCD of 18, 90, 36, 30Calculator?

Out the numbers 18, 90, 36, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.