GCD of 864, 444, 112, 672 Calculator

Given Input numbers are 864, 444, 112, 672

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 112 :

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

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (864, 444, 112, 672) = 4.

Given numbers are 864, 444, 112, 672

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 444 are 2 x 2 x 3 x 37

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 864, 444, 112, 672 is 4.

Given numbers are 864, 444, 112, 672

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

Apply this formula for all numbers.

Step1:

LCM(864, 444) = 31968

GCD(864, 444) = ( 864 x 444 ) / 31968

= 864 / 444

= 864

Step2:

LCM(12, 112) = 336

GCD(12, 112) = ( 12 x 112 ) / 336

= 12 / 112

= 12

Step3:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4

So, Greatest Common Divisor of 864, 444, 112, 672 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 639, 436, 890
• GCD of 972, 909, 407, 994
• GCD of 370, 764, 906, 668
• GCD of 678, 130, 716, 922
• GCD of 286, 778, 846, 878

Given numbers are 864, 444, 112, 672
The greatest common divisor of numbers 864, 444, 112, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 444, 112, 672 is 4.

1. What is the GCD of 864, 444, 112, 672?

GCD of given numbers 864, 444, 112, 672 is 4

2. How to calculate the greatest common divisor of 864, 444, 112, 672?

We can find the highest common divisor of 864, 444, 112, 672 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, 444, 112, 672 i.e 4.

3. How can I use the GCD of 864, 444, 112, 672Calculator?

Out the numbers 864, 444, 112, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.