GCD of 342, 133, 912, 309 Calculator

Given Input numbers are 342, 133, 912, 309

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 (342, 133, 912, 309) = 1.

Given numbers are 342, 133, 912, 309

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 133 are 7 x 19

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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 342, 133, 912, 309

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

Apply this formula for all numbers.

Step1:

LCM(342, 133) = 2394

GCD(342, 133) = ( 342 x 133 ) / 2394

= 342 / 133

= 342

Step2:

LCM(19, 912) = 912

GCD(19, 912) = ( 19 x 912 ) / 912

= 19 / 912

= 19

Step3:

LCM(19, 309) = 5871

GCD(19, 309) = ( 19 x 309 ) / 5871

= 19 / 309

= 19

So, Greatest Common Divisor of 342, 133, 912, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 329, 197, 132
• GCD of 184, 491, 128, 907
• GCD of 789, 336, 896, 884
• GCD of 173, 481, 603, 304
• GCD of 604, 961, 314, 148

Given numbers are 342, 133, 912, 309
The greatest common divisor of numbers 342, 133, 912, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 133, 912, 309 is 1.

1. What is the GCD of 342, 133, 912, 309?

GCD of given numbers 342, 133, 912, 309 is 1

2. How to calculate the greatest common divisor of 342, 133, 912, 309?

We can find the highest common divisor of 342, 133, 912, 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 342, 133, 912, 309 i.e 1.

3. How can I use the GCD of 342, 133, 912, 309Calculator?

Out the numbers 342, 133, 912, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.