GCD of 684, 522, 864, 112 Calculator

Given Input numbers are 684, 522, 864, 112

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

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (684, 522, 864, 112) = 2.

Given numbers are 684, 522, 864, 112

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 684, 522, 864, 112 is 2.

Given numbers are 684, 522, 864, 112

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

Apply this formula for all numbers.

Step1:

LCM(684, 522) = 19836

GCD(684, 522) = ( 684 x 522 ) / 19836

= 684 / 522

= 684

Step2:

LCM(18, 864) = 864

GCD(18, 864) = ( 18 x 864 ) / 864

= 18 / 864

= 18

Step3:

LCM(18, 112) = 1008

GCD(18, 112) = ( 18 x 112 ) / 1008

= 18 / 112

= 18

So, Greatest Common Divisor of 684, 522, 864, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 894, 131, 120
• GCD of 549, 543, 741, 120
• GCD of 195, 549, 293, 155
• GCD of 712, 844, 524, 406
• GCD of 734, 234, 134, 588

Given numbers are 684, 522, 864, 112
The greatest common divisor of numbers 684, 522, 864, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 522, 864, 112 is 2.

1. What is the GCD of 684, 522, 864, 112?

GCD of given numbers 684, 522, 864, 112 is 2

2. How to calculate the greatest common divisor of 684, 522, 864, 112?

We can find the highest common divisor of 684, 522, 864, 112 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 684, 522, 864, 112 i.e 2.

3. How can I use the GCD of 684, 522, 864, 112Calculator?

Out the numbers 684, 522, 864, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.