GCD of 864, 531, 849, 705 Calculator

Given Input numbers are 864, 531, 849, 705

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 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (864, 531, 849, 705) = 3.

Given numbers are 864, 531, 849, 705

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 531 are 3 x 3 x 59

Prime factors of 849 are 3 x 283

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 864, 531, 849, 705 is 3.

Given numbers are 864, 531, 849, 705

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

Apply this formula for all numbers.

Step1:

LCM(864, 531) = 50976

GCD(864, 531) = ( 864 x 531 ) / 50976

= 864 / 531

= 864

Step2:

LCM(9, 849) = 2547

GCD(9, 849) = ( 9 x 849 ) / 2547

= 9 / 849

= 9

Step3:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 864, 531, 849, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 359, 739, 911
• GCD of 232, 386, 329, 635
• GCD of 243, 302, 252, 164
• GCD of 344, 496, 338, 743
• GCD of 586, 887, 194, 434

Given numbers are 864, 531, 849, 705
The greatest common divisor of numbers 864, 531, 849, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 531, 849, 705 is 3.

1. What is the GCD of 864, 531, 849, 705?

GCD of given numbers 864, 531, 849, 705 is 3

2. How to calculate the greatest common divisor of 864, 531, 849, 705?

We can find the highest common divisor of 864, 531, 849, 705 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, 531, 849, 705 i.e 3.

3. How can I use the GCD of 864, 531, 849, 705Calculator?

Out the numbers 864, 531, 849, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.