GCD of 342, 924, 408, 323 Calculator

Given Input numbers are 342, 924, 408, 323

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (342, 924, 408, 323) = 1.

Given numbers are 342, 924, 408, 323

The list of prime factors of all numbers are

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 323 are 17 x 19

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

Given numbers are 342, 924, 408, 323

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

Apply this formula for all numbers.

Step1:

LCM(342, 924) = 52668

GCD(342, 924) = ( 342 x 924 ) / 52668

= 342 / 924

= 342

Step2:

LCM(6, 408) = 408

GCD(6, 408) = ( 6 x 408 ) / 408

= 6 / 408

= 6

Step3:

LCM(6, 323) = 1938

GCD(6, 323) = ( 6 x 323 ) / 1938

= 6 / 323

= 6

So, Greatest Common Divisor of 342, 924, 408, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 910, 902, 938
• GCD of 680, 907, 874, 138
• GCD of 687, 616, 216, 387
• GCD of 444, 239, 945, 362
• GCD of 957, 252, 138, 480

Given numbers are 342, 924, 408, 323
The greatest common divisor of numbers 342, 924, 408, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 924, 408, 323 is 1.

1. What is the GCD of 342, 924, 408, 323?

GCD of given numbers 342, 924, 408, 323 is 1

2. How to calculate the greatest common divisor of 342, 924, 408, 323?

We can find the highest common divisor of 342, 924, 408, 323 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, 924, 408, 323 i.e 1.

3. How can I use the GCD of 342, 924, 408, 323Calculator?

Out the numbers 342, 924, 408, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.