GCD of 450, 999, 705, 393 Calculator

Given Input numbers are 450, 999, 705, 393

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 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (450, 999, 705, 393) = 3.

Given numbers are 450, 999, 705, 393

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 999 are 3 x 3 x 3 x 37

Prime factors of 705 are 3 x 5 x 47

Prime factors of 393 are 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 450, 999, 705, 393 is 3.

Given numbers are 450, 999, 705, 393

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

Apply this formula for all numbers.

Step1:

LCM(450, 999) = 49950

GCD(450, 999) = ( 450 x 999 ) / 49950

= 450 / 999

= 450

Step2:

LCM(9, 705) = 2115

GCD(9, 705) = ( 9 x 705 ) / 2115

= 9 / 705

= 9

Step3:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3

So, Greatest Common Divisor of 450, 999, 705, 393 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 654, 100, 648
• GCD of 575, 206, 589, 376
• GCD of 661, 571, 852, 243
• GCD of 225, 285, 348, 935
• GCD of 473, 357, 725, 453

Given numbers are 450, 999, 705, 393
The greatest common divisor of numbers 450, 999, 705, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 999, 705, 393 is 3.

1. What is the GCD of 450, 999, 705, 393?

GCD of given numbers 450, 999, 705, 393 is 3

2. How to calculate the greatest common divisor of 450, 999, 705, 393?

We can find the highest common divisor of 450, 999, 705, 393 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, 999, 705, 393 i.e 3.

3. How can I use the GCD of 450, 999, 705, 393Calculator?

Out the numbers 450, 999, 705, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.