GCD of 450, 550, 660, 384 Calculator

Given Input numbers are 450, 550, 660, 384

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (450, 550, 660, 384) = 2.

Given numbers are 450, 550, 660, 384

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 550 are 2 x 5 x 5 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 450, 550, 660, 384 is 2.

Given numbers are 450, 550, 660, 384

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

Apply this formula for all numbers.

Step1:

LCM(450, 550) = 4950

GCD(450, 550) = ( 450 x 550 ) / 4950

= 450 / 550

= 450

Step2:

LCM(50, 660) = 3300

GCD(50, 660) = ( 50 x 660 ) / 3300

= 50 / 660

= 50

Step3:

LCM(10, 384) = 1920

GCD(10, 384) = ( 10 x 384 ) / 1920

= 10 / 384

= 10

So, Greatest Common Divisor of 450, 550, 660, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 154, 580, 725
• GCD of 666, 860, 375, 755
• GCD of 581, 258, 644, 452
• GCD of 881, 334, 830, 193
• GCD of 412, 476, 703, 224

Given numbers are 450, 550, 660, 384
The greatest common divisor of numbers 450, 550, 660, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 550, 660, 384 is 2.

1. What is the GCD of 450, 550, 660, 384?

GCD of given numbers 450, 550, 660, 384 is 2

2. How to calculate the greatest common divisor of 450, 550, 660, 384?

We can find the highest common divisor of 450, 550, 660, 384 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, 550, 660, 384 i.e 2.

3. How can I use the GCD of 450, 550, 660, 384Calculator?

Out the numbers 450, 550, 660, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.