GCD of 105, 330, 106, 309 Calculator

Given Input numbers are 105, 330, 106, 309

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (105, 330, 106, 309) = 1.

Given numbers are 105, 330, 106, 309

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 106 are 2 x 53

Prime factors of 309 are 3 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 105, 330, 106, 309

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

Apply this formula for all numbers.

Step1:

LCM(105, 330) = 2310

GCD(105, 330) = ( 105 x 330 ) / 2310

= 105 / 330

= 105

Step2:

LCM(15, 106) = 1590

GCD(15, 106) = ( 15 x 106 ) / 1590

= 15 / 106

= 15

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 105, 330, 106, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 393, 962, 750
• GCD of 816, 848, 419, 775
• GCD of 773, 760, 182, 325
• GCD of 109, 182, 578, 720
• GCD of 794, 876, 170, 176

Given numbers are 105, 330, 106, 309
The greatest common divisor of numbers 105, 330, 106, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 330, 106, 309 is 1.

1. What is the GCD of 105, 330, 106, 309?

GCD of given numbers 105, 330, 106, 309 is 1

2. How to calculate the greatest common divisor of 105, 330, 106, 309?

We can find the highest common divisor of 105, 330, 106, 309 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, 330, 106, 309 i.e 1.

3. How can I use the GCD of 105, 330, 106, 309Calculator?

Out the numbers 105, 330, 106, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.