GCD of 318, 120, 56, 582 Calculator

Given Input numbers are 318, 120, 56, 582

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

Divisors of 318 :

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

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

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 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (318, 120, 56, 582) = 2.

Given numbers are 318, 120, 56, 582

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

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

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 318, 120, 56, 582 is 2.

Given numbers are 318, 120, 56, 582

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

Apply this formula for all numbers.

Step1:

LCM(318, 120) = 6360

GCD(318, 120) = ( 318 x 120 ) / 6360

= 318 / 120

= 318

Step2:

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

= 6 / 56

= 6

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 318, 120, 56, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 629, 96, 949
• GCD of 420, 511, 95, 663
• GCD of 455, 910, 33, 534
• GCD of 755, 114, 57, 936
• GCD of 634, 961, 21, 151

Given numbers are 318, 120, 56, 582
The greatest common divisor of numbers 318, 120, 56, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 120, 56, 582 is 2.

1. What is the GCD of 318, 120, 56, 582?

GCD of given numbers 318, 120, 56, 582 is 2

2. How to calculate the greatest common divisor of 318, 120, 56, 582?

We can find the highest common divisor of 318, 120, 56, 582 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 318, 120, 56, 582 i.e 2.

3. How can I use the GCD of 318, 120, 56, 582Calculator?

Out the numbers 318, 120, 56, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.