GCD of 576, 705, 109, 864 Calculator

Given Input numbers are 576, 705, 109, 864

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 (576, 705, 109, 864) = 1.

Given numbers are 576, 705, 109, 864

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 705 are 3 x 5 x 47

Prime factors of 109 are 109

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 576, 705, 109, 864

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

Apply this formula for all numbers.

Step1:

LCM(576, 705) = 135360

GCD(576, 705) = ( 576 x 705 ) / 135360

= 576 / 705

= 576

Step2:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 576, 705, 109, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 469, 181, 200
• GCD of 702, 328, 558, 764
• GCD of 201, 267, 645, 247
• GCD of 175, 325, 427, 610
• GCD of 656, 785, 844, 660

Given numbers are 576, 705, 109, 864
The greatest common divisor of numbers 576, 705, 109, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 705, 109, 864 is 1.

1. What is the GCD of 576, 705, 109, 864?

GCD of given numbers 576, 705, 109, 864 is 1

2. How to calculate the greatest common divisor of 576, 705, 109, 864?

We can find the highest common divisor of 576, 705, 109, 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 576, 705, 109, 864 i.e 1.

3. How can I use the GCD of 576, 705, 109, 864Calculator?

Out the numbers 576, 705, 109, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.