GCD of 120, 806, 208, 324 Calculator

Given Input numbers are 120, 806, 208, 324

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 (120, 806, 208, 324) = 2.

Given numbers are 120, 806, 208, 324

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 806 are 2 x 13 x 31

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 120, 806, 208, 324 is 2.

Given numbers are 120, 806, 208, 324

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

Apply this formula for all numbers.

Step1:

LCM(120, 806) = 48360

GCD(120, 806) = ( 120 x 806 ) / 48360

= 120 / 806

= 120

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

So, Greatest Common Divisor of 120, 806, 208, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 624, 520, 654
• GCD of 674, 854, 271, 971
• GCD of 193, 909, 845, 627
• GCD of 731, 329, 612, 923
• GCD of 857, 235, 218, 835

Given numbers are 120, 806, 208, 324
The greatest common divisor of numbers 120, 806, 208, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 806, 208, 324 is 2.

1. What is the GCD of 120, 806, 208, 324?

GCD of given numbers 120, 806, 208, 324 is 2

2. How to calculate the greatest common divisor of 120, 806, 208, 324?

We can find the highest common divisor of 120, 806, 208, 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 120, 806, 208, 324 i.e 2.

3. How can I use the GCD of 120, 806, 208, 324Calculator?

Out the numbers 120, 806, 208, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.