GCD of 324, 396, 114, 981 Calculator

Given Input numbers are 324, 396, 114, 981

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

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 114 :

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

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (324, 396, 114, 981) = 3.

Given numbers are 324, 396, 114, 981

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 114 are 2 x 3 x 19

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 324, 396, 114, 981 is 3.

Given numbers are 324, 396, 114, 981

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

Apply this formula for all numbers.

Step1:

LCM(324, 396) = 3564

GCD(324, 396) = ( 324 x 396 ) / 3564

= 324 / 396

= 324

Step2:

LCM(36, 114) = 684

GCD(36, 114) = ( 36 x 114 ) / 684

= 36 / 114

= 36

Step3:

LCM(6, 981) = 1962

GCD(6, 981) = ( 6 x 981 ) / 1962

= 6 / 981

= 6

So, Greatest Common Divisor of 324, 396, 114, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 554, 729, 760
• GCD of 466, 691, 697, 488
• GCD of 819, 170, 937, 187
• GCD of 489, 600, 230, 597
• GCD of 146, 269, 204, 317

Given numbers are 324, 396, 114, 981
The greatest common divisor of numbers 324, 396, 114, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 396, 114, 981 is 3.

1. What is the GCD of 324, 396, 114, 981?

GCD of given numbers 324, 396, 114, 981 is 3

2. How to calculate the greatest common divisor of 324, 396, 114, 981?

We can find the highest common divisor of 324, 396, 114, 981 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 324, 396, 114, 981 i.e 3.

3. How can I use the GCD of 324, 396, 114, 981Calculator?

Out the numbers 324, 396, 114, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.