GCD of 690, 800, 198, 808 Calculator

Given Input numbers are 690, 800, 198, 808

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

GCD of numbers is the greatest common divisor

So, the GCD (690, 800, 198, 808) = 2.

Given numbers are 690, 800, 198, 808

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

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

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

Prime factors of 808 are 2 x 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 690, 800, 198, 808 is 2.

Given numbers are 690, 800, 198, 808

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

Apply this formula for all numbers.

Step1:

LCM(690, 800) = 55200

GCD(690, 800) = ( 690 x 800 ) / 55200

= 690 / 800

= 690

Step2:

LCM(10, 198) = 990

GCD(10, 198) = ( 10 x 198 ) / 990

= 10 / 198

= 10

Step3:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

So, Greatest Common Divisor of 690, 800, 198, 808 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 939, 304, 207
• GCD of 554, 628, 493, 324
• GCD of 388, 504, 516, 470
• GCD of 430, 253, 474, 819
• GCD of 590, 429, 731, 289

Given numbers are 690, 800, 198, 808
The greatest common divisor of numbers 690, 800, 198, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 800, 198, 808 is 2.

1. What is the GCD of 690, 800, 198, 808?

GCD of given numbers 690, 800, 198, 808 is 2

2. How to calculate the greatest common divisor of 690, 800, 198, 808?

We can find the highest common divisor of 690, 800, 198, 808 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 690, 800, 198, 808 i.e 2.

3. How can I use the GCD of 690, 800, 198, 808Calculator?

Out the numbers 690, 800, 198, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.