GCD of 321, 434, 284, 990 Calculator

Given Input numbers are 321, 434, 284, 990

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

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 (321, 434, 284, 990) = 1.

Given numbers are 321, 434, 284, 990

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 434 are 2 x 7 x 31

Prime factors of 284 are 2 x 2 x 71

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 321, 434, 284, 990

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

Apply this formula for all numbers.

Step1:

LCM(321, 434) = 139314

GCD(321, 434) = ( 321 x 434 ) / 139314

= 321 / 434

= 321

Step2:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

Step3:

LCM(1, 990) = 990

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

= 1 / 990

= 1

So, Greatest Common Divisor of 321, 434, 284, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 982, 571, 157
• GCD of 948, 939, 990, 932
• GCD of 202, 598, 791, 903
• GCD of 489, 203, 952, 881
• GCD of 580, 265, 388, 249

Given numbers are 321, 434, 284, 990
The greatest common divisor of numbers 321, 434, 284, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 434, 284, 990 is 1.

1. What is the GCD of 321, 434, 284, 990?

GCD of given numbers 321, 434, 284, 990 is 1

2. How to calculate the greatest common divisor of 321, 434, 284, 990?

We can find the highest common divisor of 321, 434, 284, 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 321, 434, 284, 990 i.e 1.

3. How can I use the GCD of 321, 434, 284, 990Calculator?

Out the numbers 321, 434, 284, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.