GCD of 864, 318, 724, 736 Calculator

Given Input numbers are 864, 318, 724, 736

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 318 :

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

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (864, 318, 724, 736) = 2.

Given numbers are 864, 318, 724, 736

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 318 are 2 x 3 x 53

Prime factors of 724 are 2 x 2 x 181

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 864, 318, 724, 736 is 2.

Given numbers are 864, 318, 724, 736

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

Apply this formula for all numbers.

Step1:

LCM(864, 318) = 45792

GCD(864, 318) = ( 864 x 318 ) / 45792

= 864 / 318

= 864

Step2:

LCM(6, 724) = 2172

GCD(6, 724) = ( 6 x 724 ) / 2172

= 6 / 724

= 6

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 864, 318, 724, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 395, 299, 423
• GCD of 696, 461, 358, 322
• GCD of 355, 828, 624, 616
• GCD of 579, 775, 472, 715
• GCD of 778, 946, 399, 322

Given numbers are 864, 318, 724, 736
The greatest common divisor of numbers 864, 318, 724, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 318, 724, 736 is 2.

1. What is the GCD of 864, 318, 724, 736?

GCD of given numbers 864, 318, 724, 736 is 2

2. How to calculate the greatest common divisor of 864, 318, 724, 736?

We can find the highest common divisor of 864, 318, 724, 736 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, 318, 724, 736 i.e 2.

3. How can I use the GCD of 864, 318, 724, 736Calculator?

Out the numbers 864, 318, 724, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.