GCD of 216, 138, 450, 150 Calculator

Given Input numbers are 216, 138, 450, 150

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 138 :

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

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

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (216, 138, 450, 150) = 6.

Given numbers are 216, 138, 450, 150

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 150 are 2 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 216, 138, 450, 150 is 6.

Given numbers are 216, 138, 450, 150

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

Apply this formula for all numbers.

Step1:

LCM(216, 138) = 4968

GCD(216, 138) = ( 216 x 138 ) / 4968

= 216 / 138

= 216

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

= 6 / 150

= 6

So, Greatest Common Divisor of 216, 138, 450, 150 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 115, 632, 851
• GCD of 668, 204, 225, 156
• GCD of 849, 407, 932, 433
• GCD of 946, 867, 182, 581
• GCD of 471, 482, 491, 663

Given numbers are 216, 138, 450, 150
The greatest common divisor of numbers 216, 138, 450, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 138, 450, 150 is 6.

1. What is the GCD of 216, 138, 450, 150?

GCD of given numbers 216, 138, 450, 150 is 6

2. How to calculate the greatest common divisor of 216, 138, 450, 150?

We can find the highest common divisor of 216, 138, 450, 150 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 216, 138, 450, 150 i.e 6.

3. How can I use the GCD of 216, 138, 450, 150Calculator?

Out the numbers 216, 138, 450, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.