GCD of 915, 582, 24, 312 Calculator

Given Input numbers are 915, 582, 24, 312

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 582 :

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

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

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (915, 582, 24, 312) = 3.

Given numbers are 915, 582, 24, 312

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 582 are 2 x 3 x 97

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 915, 582, 24, 312 is 3.

Given numbers are 915, 582, 24, 312

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

Apply this formula for all numbers.

Step1:

LCM(915, 582) = 177510

GCD(915, 582) = ( 915 x 582 ) / 177510

= 915 / 582

= 915

Step2:

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

= 3 / 24

= 3

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 915, 582, 24, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 393, 18, 240
• GCD of 592, 968, 56, 469
• GCD of 869, 799, 63, 632
• GCD of 569, 860, 84, 863
• GCD of 301, 428, 36, 100

Given numbers are 915, 582, 24, 312
The greatest common divisor of numbers 915, 582, 24, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 582, 24, 312 is 3.

1. What is the GCD of 915, 582, 24, 312?

GCD of given numbers 915, 582, 24, 312 is 3

2. How to calculate the greatest common divisor of 915, 582, 24, 312?

We can find the highest common divisor of 915, 582, 24, 312 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 915, 582, 24, 312 i.e 3.

3. How can I use the GCD of 915, 582, 24, 312Calculator?

Out the numbers 915, 582, 24, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.