GCD of 208, 800, 891, 198 Calculator

Given Input numbers are 208, 800, 891, 198

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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

GCD of numbers is the greatest common divisor

So, the GCD (208, 800, 891, 198) = 1.

Given numbers are 208, 800, 891, 198

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

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

Given numbers are 208, 800, 891, 198

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

Apply this formula for all numbers.

Step1:

LCM(208, 800) = 10400

GCD(208, 800) = ( 208 x 800 ) / 10400

= 208 / 800

= 208

Step2:

LCM(16, 891) = 14256

GCD(16, 891) = ( 16 x 891 ) / 14256

= 16 / 891

= 16

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 208, 800, 891, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 528, 239, 232
• GCD of 751, 708, 915, 620
• GCD of 400, 799, 523, 718
• GCD of 651, 219, 168, 191
• GCD of 468, 556, 381, 791

Given numbers are 208, 800, 891, 198
The greatest common divisor of numbers 208, 800, 891, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 800, 891, 198 is 1.

1. What is the GCD of 208, 800, 891, 198?

GCD of given numbers 208, 800, 891, 198 is 1

2. How to calculate the greatest common divisor of 208, 800, 891, 198?

We can find the highest common divisor of 208, 800, 891, 198 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 208, 800, 891, 198 i.e 1.

3. How can I use the GCD of 208, 800, 891, 198Calculator?

Out the numbers 208, 800, 891, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.