GCD of 344, 990, 398, 844 Calculator

Given Input numbers are 344, 990, 398, 844

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 398 :

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

1, 2, 199, 398

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (344, 990, 398, 844) = 2.

Given numbers are 344, 990, 398, 844

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

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

Prime factors of 398 are 2 x 199

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 344, 990, 398, 844 is 2.

Given numbers are 344, 990, 398, 844

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

Apply this formula for all numbers.

Step1:

LCM(344, 990) = 170280

GCD(344, 990) = ( 344 x 990 ) / 170280

= 344 / 990

= 344

Step2:

LCM(2, 398) = 398

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

= 2 / 398

= 2

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 344, 990, 398, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 549, 368, 615
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• GCD of 636, 811, 629, 351
• GCD of 149, 832, 750, 535
• GCD of 681, 738, 937, 563

Given numbers are 344, 990, 398, 844
The greatest common divisor of numbers 344, 990, 398, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 990, 398, 844 is 2.

1. What is the GCD of 344, 990, 398, 844?

GCD of given numbers 344, 990, 398, 844 is 2

2. How to calculate the greatest common divisor of 344, 990, 398, 844?

We can find the highest common divisor of 344, 990, 398, 844 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 344, 990, 398, 844 i.e 2.

3. How can I use the GCD of 344, 990, 398, 844Calculator?

Out the numbers 344, 990, 398, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.