GCD of 150, 394, 162, 450 Calculator

Given Input numbers are 150, 394, 162, 450

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

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 394, 162, 450) = 2.

Given numbers are 150, 394, 162, 450

The list of prime factors of all numbers are

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

Prime factors of 394 are 2 x 197

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 150, 394, 162, 450 is 2.

Given numbers are 150, 394, 162, 450

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

Apply this formula for all numbers.

Step1:

LCM(150, 394) = 29550

GCD(150, 394) = ( 150 x 394 ) / 29550

= 150 / 394

= 150

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 150, 394, 162, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 413, 551, 571
• GCD of 821, 215, 346, 198
• GCD of 348, 241, 407, 194
• GCD of 623, 185, 382, 952
• GCD of 468, 860, 646, 946

Given numbers are 150, 394, 162, 450
The greatest common divisor of numbers 150, 394, 162, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 394, 162, 450 is 2.

1. What is the GCD of 150, 394, 162, 450?

GCD of given numbers 150, 394, 162, 450 is 2

2. How to calculate the greatest common divisor of 150, 394, 162, 450?

We can find the highest common divisor of 150, 394, 162, 450 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 150, 394, 162, 450 i.e 2.

3. How can I use the GCD of 150, 394, 162, 450Calculator?

Out the numbers 150, 394, 162, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.