GCD of 862, 728, 872 Calculator

Given Input numbers are 862, 728, 872

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

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (862, 728, 872) = 2.

Given numbers are 862, 728, 872

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 862, 728, 872 is 2.

Given numbers are 862, 728, 872

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

Apply this formula for all numbers.

Step1:

LCM(862, 728) = 313768

GCD(862, 728) = ( 862 x 728 ) / 313768

= 862 / 728

= 862

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 862, 728, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 562, 498
• GCD of 912, 767, 405
• GCD of 191, 321, 466
• GCD of 406, 484, 774
• GCD of 960, 801, 411

Given numbers are 862, 728, 872
The greatest common divisor of numbers 862, 728, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 728, 872 is 2.

1. What is the GCD of 862, 728, 872?

GCD of given numbers 862, 728, 872 is 2

2. How to calculate the greatest common divisor of 862, 728, 872?

We can find the highest common divisor of 862, 728, 872 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 862, 728, 872 i.e 2.

3. How can I use the GCD of 862, 728, 872Calculator?

Out the numbers 862, 728, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.