GCD of 864, 724, 829, 992 Calculator

Given Input numbers are 864, 724, 829, 992

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (864, 724, 829, 992) = 1.

Given numbers are 864, 724, 829, 992

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 724 are 2 x 2 x 181

Prime factors of 829 are 829

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Given numbers are 864, 724, 829, 992

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

Apply this formula for all numbers.

Step1:

LCM(864, 724) = 156384

GCD(864, 724) = ( 864 x 724 ) / 156384

= 864 / 724

= 864

Step2:

LCM(4, 829) = 3316

GCD(4, 829) = ( 4 x 829 ) / 3316

= 4 / 829

= 4

Step3:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

So, Greatest Common Divisor of 864, 724, 829, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 510, 732, 336
• GCD of 964, 813, 729, 970
• GCD of 330, 146, 402, 200
• GCD of 265, 303, 340, 847
• GCD of 295, 209, 140, 262

Given numbers are 864, 724, 829, 992
The greatest common divisor of numbers 864, 724, 829, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 724, 829, 992 is 1.

1. What is the GCD of 864, 724, 829, 992?

GCD of given numbers 864, 724, 829, 992 is 1

2. How to calculate the greatest common divisor of 864, 724, 829, 992?

We can find the highest common divisor of 864, 724, 829, 992 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, 724, 829, 992 i.e 1.

3. How can I use the GCD of 864, 724, 829, 992Calculator?

Out the numbers 864, 724, 829, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.