GCD of 117, 342, 327, 312 Calculator

Given Input numbers are 117, 342, 327, 312

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

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

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 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

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

GCD of numbers is the greatest common divisor

So, the GCD (117, 342, 327, 312) = 3.

Given numbers are 117, 342, 327, 312

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

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

Prime factors of 327 are 3 x 109

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

The highest common occurrence is 3¹

Therefore, GCD of 117, 342, 327, 312 is 3.

Given numbers are 117, 342, 327, 312

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

Apply this formula for all numbers.

Step1:

LCM(117, 342) = 4446

GCD(117, 342) = ( 117 x 342 ) / 4446

= 117 / 342

= 117

Step2:

LCM(9, 327) = 981

GCD(9, 327) = ( 9 x 327 ) / 981

= 9 / 327

= 9

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 117, 342, 327, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 256, 115, 234
• GCD of 261, 272, 706, 969
• GCD of 264, 205, 143, 907
• GCD of 807, 345, 998, 193
• GCD of 862, 384, 530, 907

Given numbers are 117, 342, 327, 312
The greatest common divisor of numbers 117, 342, 327, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 342, 327, 312 is 3.

1. What is the GCD of 117, 342, 327, 312?

GCD of given numbers 117, 342, 327, 312 is 3

2. How to calculate the greatest common divisor of 117, 342, 327, 312?

We can find the highest common divisor of 117, 342, 327, 312 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 117, 342, 327, 312 i.e 3.

3. How can I use the GCD of 117, 342, 327, 312Calculator?

Out the numbers 117, 342, 327, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.