GCD of 864, 586, 48, 684 Calculator

Given Input numbers are 864, 586, 48, 684

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 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (864, 586, 48, 684) = 2.

Given numbers are 864, 586, 48, 684

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 586 are 2 x 293

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 864, 586, 48, 684 is 2.

Given numbers are 864, 586, 48, 684

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

Apply this formula for all numbers.

Step1:

LCM(864, 586) = 253152

GCD(864, 586) = ( 864 x 586 ) / 253152

= 864 / 586

= 864

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

So, Greatest Common Divisor of 864, 586, 48, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 794, 81, 350
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• GCD of 344, 951, 43, 917

Given numbers are 864, 586, 48, 684
The greatest common divisor of numbers 864, 586, 48, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 586, 48, 684 is 2.

1. What is the GCD of 864, 586, 48, 684?

GCD of given numbers 864, 586, 48, 684 is 2

2. How to calculate the greatest common divisor of 864, 586, 48, 684?

We can find the highest common divisor of 864, 586, 48, 684 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, 586, 48, 684 i.e 2.

3. How can I use the GCD of 864, 586, 48, 684Calculator?

Out the numbers 864, 586, 48, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.