GCD of 333, 900, 990, 375 Calculator

Given Input numbers are 333, 900, 990, 375

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

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (333, 900, 990, 375) = 3.

Given numbers are 333, 900, 990, 375

The list of prime factors of all numbers are

Prime factors of 333 are 3 x 3 x 37

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 333, 900, 990, 375 is 3.

Given numbers are 333, 900, 990, 375

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

Apply this formula for all numbers.

Step1:

LCM(333, 900) = 33300

GCD(333, 900) = ( 333 x 900 ) / 33300

= 333 / 900

= 333

Step2:

LCM(9, 990) = 990

GCD(9, 990) = ( 9 x 990 ) / 990

= 9 / 990

= 9

Step3:

LCM(9, 375) = 1125

GCD(9, 375) = ( 9 x 375 ) / 1125

= 9 / 375

= 9

So, Greatest Common Divisor of 333, 900, 990, 375 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 923, 369, 160
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Given numbers are 333, 900, 990, 375
The greatest common divisor of numbers 333, 900, 990, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 900, 990, 375 is 3.

1. What is the GCD of 333, 900, 990, 375?

GCD of given numbers 333, 900, 990, 375 is 3

2. How to calculate the greatest common divisor of 333, 900, 990, 375?

We can find the highest common divisor of 333, 900, 990, 375 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 333, 900, 990, 375 i.e 3.

3. How can I use the GCD of 333, 900, 990, 375Calculator?

Out the numbers 333, 900, 990, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.