GCD of 390, 450, 855 Calculator

Given Input numbers are 390, 450, 855

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

GCD of numbers is the greatest common divisor

So, the GCD (390, 450, 855) = 15.

Given numbers are 390, 450, 855

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 390, 450, 855 is 15.

Given numbers are 390, 450, 855

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

Apply this formula for all numbers.

Step1:

LCM(390, 450) = 5850

GCD(390, 450) = ( 390 x 450 ) / 5850

= 390 / 450

= 390

Step2:

LCM(30, 855) = 1710

GCD(30, 855) = ( 30 x 855 ) / 1710

= 30 / 855

= 30

So, Greatest Common Divisor of 390, 450, 855 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 333, 611
• GCD of 301, 232, 379
• GCD of 617, 905, 435
• GCD of 953, 878, 272
• GCD of 540, 155, 873

Given numbers are 390, 450, 855
The greatest common divisor of numbers 390, 450, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 450, 855 is 15.

1. What is the GCD of 390, 450, 855?

GCD of given numbers 390, 450, 855 is 15

2. How to calculate the greatest common divisor of 390, 450, 855?

We can find the highest common divisor of 390, 450, 855 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 390, 450, 855 i.e 15.

3. How can I use the GCD of 390, 450, 855Calculator?

Out the numbers 390, 450, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.