GCD of 672, 768, 729, 864 Calculator

Given Input numbers are 672, 768, 729, 864

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

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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

GCD of numbers is the greatest common divisor

So, the GCD (672, 768, 729, 864) = 3.

Given numbers are 672, 768, 729, 864

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 3¹

Therefore, GCD of 672, 768, 729, 864 is 3.

Given numbers are 672, 768, 729, 864

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

Apply this formula for all numbers.

Step1:

LCM(672, 768) = 5376

GCD(672, 768) = ( 672 x 768 ) / 5376

= 672 / 768

= 672

Step2:

LCM(96, 729) = 23328

GCD(96, 729) = ( 96 x 729 ) / 23328

= 96 / 729

= 96

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 672, 768, 729, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 499, 988, 780
• GCD of 840, 105, 262, 346
• GCD of 294, 610, 648, 601
• GCD of 450, 525, 304, 564
• GCD of 298, 252, 505, 754

Given numbers are 672, 768, 729, 864
The greatest common divisor of numbers 672, 768, 729, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 768, 729, 864 is 3.

1. What is the GCD of 672, 768, 729, 864?

GCD of given numbers 672, 768, 729, 864 is 3

2. How to calculate the greatest common divisor of 672, 768, 729, 864?

We can find the highest common divisor of 672, 768, 729, 864 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 672, 768, 729, 864 i.e 3.

3. How can I use the GCD of 672, 768, 729, 864Calculator?

Out the numbers 672, 768, 729, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.