GCD of 198, 309, 643, 822 Calculator

Given Input numbers are 198, 309, 643, 822

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

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (198, 309, 643, 822) = 1.

Given numbers are 198, 309, 643, 822

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 643 are 643

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 198, 309, 643, 822

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

Apply this formula for all numbers.

Step1:

LCM(198, 309) = 20394

GCD(198, 309) = ( 198 x 309 ) / 20394

= 198 / 309

= 198

Step2:

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

= 3 / 643

= 3

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 198, 309, 643, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 412, 895, 960
• GCD of 300, 307, 875, 688
• GCD of 855, 806, 492, 634
• GCD of 666, 532, 796, 880
• GCD of 546, 896, 728, 954

Given numbers are 198, 309, 643, 822
The greatest common divisor of numbers 198, 309, 643, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 309, 643, 822 is 1.

1. What is the GCD of 198, 309, 643, 822?

GCD of given numbers 198, 309, 643, 822 is 1

2. How to calculate the greatest common divisor of 198, 309, 643, 822?

We can find the highest common divisor of 198, 309, 643, 822 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 198, 309, 643, 822 i.e 1.

3. How can I use the GCD of 198, 309, 643, 822Calculator?

Out the numbers 198, 309, 643, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.