GCD of 732, 276, 405, 999 Calculator

Given Input numbers are 732, 276, 405, 999

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 999 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 276, 405, 999) = 3.

Given numbers are 732, 276, 405, 999

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 999 are 3 x 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 732, 276, 405, 999 is 3.

Given numbers are 732, 276, 405, 999

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

Apply this formula for all numbers.

Step1:

LCM(732, 276) = 16836

GCD(732, 276) = ( 732 x 276 ) / 16836

= 732 / 276

= 732

Step2:

LCM(12, 405) = 1620

GCD(12, 405) = ( 12 x 405 ) / 1620

= 12 / 405

= 12

Step3:

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

= 3 / 999

= 3

So, Greatest Common Divisor of 732, 276, 405, 999 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 537, 458, 143
• GCD of 293, 168, 256, 603
• GCD of 169, 367, 467, 605
• GCD of 849, 147, 342, 458
• GCD of 373, 856, 272, 251

Given numbers are 732, 276, 405, 999
The greatest common divisor of numbers 732, 276, 405, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 276, 405, 999 is 3.

1. What is the GCD of 732, 276, 405, 999?

GCD of given numbers 732, 276, 405, 999 is 3

2. How to calculate the greatest common divisor of 732, 276, 405, 999?

We can find the highest common divisor of 732, 276, 405, 999 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 732, 276, 405, 999 i.e 3.

3. How can I use the GCD of 732, 276, 405, 999Calculator?

Out the numbers 732, 276, 405, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.