GCD of 312, 318, 138, 233 Calculator

Given Input numbers are 312, 318, 138, 233

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

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 233 :

The positive integer divisors of 233 that completely divides 233 are.

1, 233

GCD of numbers is the greatest common divisor

So, the GCD (312, 318, 138, 233) = 1.

Given numbers are 312, 318, 138, 233

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 138 are 2 x 3 x 23

Prime factors of 233 are 233

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

Given numbers are 312, 318, 138, 233

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

Apply this formula for all numbers.

Step1:

LCM(312, 318) = 16536

GCD(312, 318) = ( 312 x 318 ) / 16536

= 312 / 318

= 312

Step2:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

Step3:

LCM(6, 233) = 1398

GCD(6, 233) = ( 6 x 233 ) / 1398

= 6 / 233

= 6

So, Greatest Common Divisor of 312, 318, 138, 233 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 925, 676, 939
• GCD of 744, 512, 241, 230
• GCD of 966, 315, 751, 387
• GCD of 697, 249, 434, 728
• GCD of 680, 749, 623, 962

Given numbers are 312, 318, 138, 233
The greatest common divisor of numbers 312, 318, 138, 233 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 318, 138, 233 is 1.

1. What is the GCD of 312, 318, 138, 233?

GCD of given numbers 312, 318, 138, 233 is 1

2. How to calculate the greatest common divisor of 312, 318, 138, 233?

We can find the highest common divisor of 312, 318, 138, 233 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 312, 318, 138, 233 i.e 1.

3. How can I use the GCD of 312, 318, 138, 233Calculator?

Out the numbers 312, 318, 138, 233 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.