GCD of 450, 447, 42, 264 Calculator

Given Input numbers are 450, 447, 42, 264

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (450, 447, 42, 264) = 3.

Given numbers are 450, 447, 42, 264

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 447 are 3 x 149

Prime factors of 42 are 2 x 3 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 450, 447, 42, 264 is 3.

Given numbers are 450, 447, 42, 264

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

Apply this formula for all numbers.

Step1:

LCM(450, 447) = 67050

GCD(450, 447) = ( 450 x 447 ) / 67050

= 450 / 447

= 450

Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

Step3:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

So, Greatest Common Divisor of 450, 447, 42, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 737, 39, 426
• GCD of 223, 705, 16, 900
• GCD of 833, 112, 13, 805
• GCD of 352, 757, 14, 593
• GCD of 346, 370, 95, 360

Given numbers are 450, 447, 42, 264
The greatest common divisor of numbers 450, 447, 42, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 447, 42, 264 is 3.

1. What is the GCD of 450, 447, 42, 264?

GCD of given numbers 450, 447, 42, 264 is 3

2. How to calculate the greatest common divisor of 450, 447, 42, 264?

We can find the highest common divisor of 450, 447, 42, 264 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, 447, 42, 264 i.e 3.

3. How can I use the GCD of 450, 447, 42, 264Calculator?

Out the numbers 450, 447, 42, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.