GCD of 104, 198, 355, 864 Calculator

Given Input numbers are 104, 198, 355, 864

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 (104, 198, 355, 864) = 1.

Given numbers are 104, 198, 355, 864

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 355 are 5 x 71

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 104, 198, 355, 864

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

Apply this formula for all numbers.

Step1:

LCM(104, 198) = 10296

GCD(104, 198) = ( 104 x 198 ) / 10296

= 104 / 198

= 104

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 864) = 864

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

= 1 / 864

= 1

So, Greatest Common Divisor of 104, 198, 355, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 318, 599, 602
• GCD of 610, 764, 229, 834
• GCD of 368, 998, 547, 591
• GCD of 591, 561, 968, 389
• GCD of 157, 270, 817, 416

Given numbers are 104, 198, 355, 864
The greatest common divisor of numbers 104, 198, 355, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 198, 355, 864 is 1.

1. What is the GCD of 104, 198, 355, 864?

GCD of given numbers 104, 198, 355, 864 is 1

2. How to calculate the greatest common divisor of 104, 198, 355, 864?

We can find the highest common divisor of 104, 198, 355, 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 104, 198, 355, 864 i.e 1.

3. How can I use the GCD of 104, 198, 355, 864Calculator?

Out the numbers 104, 198, 355, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.