GCD of 990, 322, 726, 398 Calculator

Given Input numbers are 990, 322, 726, 398

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

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (990, 322, 726, 398) = 2.

Given numbers are 990, 322, 726, 398

The list of prime factors of all numbers are

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

Prime factors of 322 are 2 x 7 x 23

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 990, 322, 726, 398 is 2.

Given numbers are 990, 322, 726, 398

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

Apply this formula for all numbers.

Step1:

LCM(990, 322) = 159390

GCD(990, 322) = ( 990 x 322 ) / 159390

= 990 / 322

= 990

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 990, 322, 726, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 385, 483, 354
• GCD of 478, 745, 798, 974
• GCD of 485, 350, 192, 433
• GCD of 672, 159, 713, 695
• GCD of 349, 361, 262, 891

Given numbers are 990, 322, 726, 398
The greatest common divisor of numbers 990, 322, 726, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 322, 726, 398 is 2.

1. What is the GCD of 990, 322, 726, 398?

GCD of given numbers 990, 322, 726, 398 is 2

2. How to calculate the greatest common divisor of 990, 322, 726, 398?

We can find the highest common divisor of 990, 322, 726, 398 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 990, 322, 726, 398 i.e 2.

3. How can I use the GCD of 990, 322, 726, 398Calculator?

Out the numbers 990, 322, 726, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.