GCD of 864, 597, 993, 582 Calculator

Given Input numbers are 864, 597, 993, 582

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

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 (864, 597, 993, 582) = 3.

Given numbers are 864, 597, 993, 582

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 597 are 3 x 199

Prime factors of 993 are 3 x 331

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 864, 597, 993, 582 is 3.

Given numbers are 864, 597, 993, 582

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

Apply this formula for all numbers.

Step1:

LCM(864, 597) = 171936

GCD(864, 597) = ( 864 x 597 ) / 171936

= 864 / 597

= 864

Step2:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

Step3:

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

= 3 / 582

= 3

So, Greatest Common Divisor of 864, 597, 993, 582 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 750, 816, 669
• GCD of 967, 545, 672, 665
• GCD of 244, 700, 398, 321
• GCD of 513, 183, 587, 834
• GCD of 625, 983, 982, 684

Given numbers are 864, 597, 993, 582
The greatest common divisor of numbers 864, 597, 993, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 597, 993, 582 is 3.

1. What is the GCD of 864, 597, 993, 582?

GCD of given numbers 864, 597, 993, 582 is 3

2. How to calculate the greatest common divisor of 864, 597, 993, 582?

We can find the highest common divisor of 864, 597, 993, 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 864, 597, 993, 582 i.e 3.

3. How can I use the GCD of 864, 597, 993, 582Calculator?

Out the numbers 864, 597, 993, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.