GCD of 828, 459, 885, 270 Calculator

Given Input numbers are 828, 459, 885, 270

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (828, 459, 885, 270) = 3.

Given numbers are 828, 459, 885, 270

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 885 are 3 x 5 x 59

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 828, 459, 885, 270 is 3.

Given numbers are 828, 459, 885, 270

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

Apply this formula for all numbers.

Step1:

LCM(828, 459) = 42228

GCD(828, 459) = ( 828 x 459 ) / 42228

= 828 / 459

= 828

Step2:

LCM(9, 885) = 2655

GCD(9, 885) = ( 9 x 885 ) / 2655

= 9 / 885

= 9

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 828, 459, 885, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 116, 425, 986
• GCD of 906, 647, 133, 635
• GCD of 885, 409, 463, 238
• GCD of 312, 311, 629, 693
• GCD of 174, 998, 881, 259

Given numbers are 828, 459, 885, 270
The greatest common divisor of numbers 828, 459, 885, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 459, 885, 270 is 3.

1. What is the GCD of 828, 459, 885, 270?

GCD of given numbers 828, 459, 885, 270 is 3

2. How to calculate the greatest common divisor of 828, 459, 885, 270?

We can find the highest common divisor of 828, 459, 885, 270 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 828, 459, 885, 270 i.e 3.

3. How can I use the GCD of 828, 459, 885, 270Calculator?

Out the numbers 828, 459, 885, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.