GCD of 398, 718, 864 Calculator

Given Input numbers are 398, 718, 864

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 (398, 718, 864) = 2.

Given numbers are 398, 718, 864

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 718 are 2 x 359

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 2¹

Therefore, GCD of 398, 718, 864 is 2.

Given numbers are 398, 718, 864

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

Apply this formula for all numbers.

Step1:

LCM(398, 718) = 142882

GCD(398, 718) = ( 398 x 718 ) / 142882

= 398 / 718

= 398

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 398, 718, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 597, 419
• GCD of 723, 943, 300
• GCD of 622, 456, 127
• GCD of 278, 804, 307
• GCD of 988, 325, 491

Given numbers are 398, 718, 864
The greatest common divisor of numbers 398, 718, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 718, 864 is 2.

1. What is the GCD of 398, 718, 864?

GCD of given numbers 398, 718, 864 is 2

2. How to calculate the greatest common divisor of 398, 718, 864?

We can find the highest common divisor of 398, 718, 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 398, 718, 864 i.e 2.

3. How can I use the GCD of 398, 718, 864Calculator?

Out the numbers 398, 718, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.