GCD of 105, 117, 333 Calculator

Given Input numbers are 105, 117, 333

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 333 :

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

1, 3, 9, 37, 111, 333

GCD of numbers is the greatest common divisor

So, the GCD (105, 117, 333) = 3.

Given numbers are 105, 117, 333

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 117 are 3 x 3 x 13

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 105, 117, 333 is 3.

Given numbers are 105, 117, 333

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

Apply this formula for all numbers.

Step1:

LCM(105, 117) = 4095

GCD(105, 117) = ( 105 x 117 ) / 4095

= 105 / 117

= 105

Step2:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

So, Greatest Common Divisor of 105, 117, 333 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 519, 574
• GCD of 778, 572, 760
• GCD of 485, 335, 731
• GCD of 996, 453, 271
• GCD of 979, 885, 939

Given numbers are 105, 117, 333
The greatest common divisor of numbers 105, 117, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 117, 333 is 3.

1. What is the GCD of 105, 117, 333?

GCD of given numbers 105, 117, 333 is 3

2. How to calculate the greatest common divisor of 105, 117, 333?

We can find the highest common divisor of 105, 117, 333 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 105, 117, 333 i.e 3.

3. How can I use the GCD of 105, 117, 333Calculator?

Out the numbers 105, 117, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.