GCD of 387, 324, 114, 116 Calculator

Given Input numbers are 387, 324, 114, 116

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (387, 324, 114, 116) = 1.

Given numbers are 387, 324, 114, 116

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 387, 324, 114, 116

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

Apply this formula for all numbers.

Step1:

LCM(387, 324) = 13932

GCD(387, 324) = ( 387 x 324 ) / 13932

= 387 / 324

= 387

Step2:

LCM(9, 114) = 342

GCD(9, 114) = ( 9 x 114 ) / 342

= 9 / 114

= 9

Step3:

LCM(3, 116) = 348

GCD(3, 116) = ( 3 x 116 ) / 348

= 3 / 116

= 3

So, Greatest Common Divisor of 387, 324, 114, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 635, 564, 924
• GCD of 567, 457, 161, 406
• GCD of 518, 306, 299, 868
• GCD of 203, 963, 996, 660
• GCD of 448, 643, 643, 179

Given numbers are 387, 324, 114, 116
The greatest common divisor of numbers 387, 324, 114, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 324, 114, 116 is 1.

1. What is the GCD of 387, 324, 114, 116?

GCD of given numbers 387, 324, 114, 116 is 1

2. How to calculate the greatest common divisor of 387, 324, 114, 116?

We can find the highest common divisor of 387, 324, 114, 116 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 387, 324, 114, 116 i.e 1.

3. How can I use the GCD of 387, 324, 114, 116Calculator?

Out the numbers 387, 324, 114, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.