GCD of 894, 636, 114, 324 Calculator

Given Input numbers are 894, 636, 114, 324

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 114 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (894, 636, 114, 324) = 6.

Given numbers are 894, 636, 114, 324

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 894, 636, 114, 324 is 6.

Given numbers are 894, 636, 114, 324

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

Apply this formula for all numbers.

Step1:

LCM(894, 636) = 94764

GCD(894, 636) = ( 894 x 636 ) / 94764

= 894 / 636

= 894

Step2:

LCM(6, 114) = 114

GCD(6, 114) = ( 6 x 114 ) / 114

= 6 / 114

= 6

Step3:

LCM(6, 324) = 324

GCD(6, 324) = ( 6 x 324 ) / 324

= 6 / 324

= 6

So, Greatest Common Divisor of 894, 636, 114, 324 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 717, 739, 505
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Given numbers are 894, 636, 114, 324
The greatest common divisor of numbers 894, 636, 114, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 636, 114, 324 is 6.

1. What is the GCD of 894, 636, 114, 324?

GCD of given numbers 894, 636, 114, 324 is 6

2. How to calculate the greatest common divisor of 894, 636, 114, 324?

We can find the highest common divisor of 894, 636, 114, 324 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 894, 636, 114, 324 i.e 6.

3. How can I use the GCD of 894, 636, 114, 324Calculator?

Out the numbers 894, 636, 114, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.