GCD of 309, 806, 238, 990 Calculator

Given Input numbers are 309, 806, 238, 990

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (309, 806, 238, 990) = 1.

Given numbers are 309, 806, 238, 990

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 806 are 2 x 13 x 31

Prime factors of 238 are 2 x 7 x 17

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 309, 806, 238, 990

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

Apply this formula for all numbers.

Step1:

LCM(309, 806) = 249054

GCD(309, 806) = ( 309 x 806 ) / 249054

= 309 / 806

= 309

Step2:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 309, 806, 238, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 745, 279, 528
• GCD of 548, 435, 514, 784
• GCD of 218, 630, 316, 382
• GCD of 303, 263, 110, 248
• GCD of 446, 634, 668, 349

Given numbers are 309, 806, 238, 990
The greatest common divisor of numbers 309, 806, 238, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 806, 238, 990 is 1.

1. What is the GCD of 309, 806, 238, 990?

GCD of given numbers 309, 806, 238, 990 is 1

2. How to calculate the greatest common divisor of 309, 806, 238, 990?

We can find the highest common divisor of 309, 806, 238, 990 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 309, 806, 238, 990 i.e 1.

3. How can I use the GCD of 309, 806, 238, 990Calculator?

Out the numbers 309, 806, 238, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.