GCD of 323, 272, 312, 363 Calculator

Given Input numbers are 323, 272, 312, 363

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

Divisors of 323 :

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

1, 17, 19, 323

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (323, 272, 312, 363) = 1.

Given numbers are 323, 272, 312, 363

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 323, 272, 312, 363

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

Apply this formula for all numbers.

Step1:

LCM(323, 272) = 5168

GCD(323, 272) = ( 323 x 272 ) / 5168

= 323 / 272

= 323

Step2:

LCM(17, 312) = 5304

GCD(17, 312) = ( 17 x 312 ) / 5304

= 17 / 312

= 17

Step3:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

So, Greatest Common Divisor of 323, 272, 312, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 931, 312, 875
• GCD of 662, 274, 123, 132
• GCD of 234, 903, 336, 378
• GCD of 517, 370, 924, 642
• GCD of 465, 163, 361, 626

Given numbers are 323, 272, 312, 363
The greatest common divisor of numbers 323, 272, 312, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 272, 312, 363 is 1.

1. What is the GCD of 323, 272, 312, 363?

GCD of given numbers 323, 272, 312, 363 is 1

2. How to calculate the greatest common divisor of 323, 272, 312, 363?

We can find the highest common divisor of 323, 272, 312, 363 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 323, 272, 312, 363 i.e 1.

3. How can I use the GCD of 323, 272, 312, 363Calculator?

Out the numbers 323, 272, 312, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.