GCD of 450, 138, 18 Calculator

Given Input numbers are 450, 138, 18

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 18 :

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

1, 2, 3, 6, 9, 18

GCD of numbers is the greatest common divisor

So, the GCD (450, 138, 18) = 6.

Given numbers are 450, 138, 18

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 450, 138, 18 is 6.

Given numbers are 450, 138, 18

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

Apply this formula for all numbers.

Step1:

LCM(450, 138) = 10350

GCD(450, 138) = ( 450 x 138 ) / 10350

= 450 / 138

= 450

Step2:

LCM(6, 18) = 18

GCD(6, 18) = ( 6 x 18 ) / 18

= 6 / 18

= 6

So, Greatest Common Divisor of 450, 138, 18 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 210, 76
• GCD of 215, 723, 98
• GCD of 431, 960, 93
• GCD of 454, 785, 83
• GCD of 252, 195, 48

Given numbers are 450, 138, 18
The greatest common divisor of numbers 450, 138, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 138, 18 is 6.

1. What is the GCD of 450, 138, 18?

GCD of given numbers 450, 138, 18 is 6

2. How to calculate the greatest common divisor of 450, 138, 18?

We can find the highest common divisor of 450, 138, 18 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 450, 138, 18 i.e 6.

3. How can I use the GCD of 450, 138, 18Calculator?

Out the numbers 450, 138, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.