GCD of 344, 324, 748, 990 Calculator

Given Input numbers are 344, 324, 748, 990

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 (344, 324, 748, 990) = 2.

Given numbers are 344, 324, 748, 990

The list of prime factors of all numbers are

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 748 are 2 x 2 x 11 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 344, 324, 748, 990 is 2.

Given numbers are 344, 324, 748, 990

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

Apply this formula for all numbers.

Step1:

LCM(344, 324) = 27864

GCD(344, 324) = ( 344 x 324 ) / 27864

= 344 / 324

= 344

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 990) = 1980

GCD(4, 990) = ( 4 x 990 ) / 1980

= 4 / 990

= 4

So, Greatest Common Divisor of 344, 324, 748, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 764, 263, 199
• GCD of 422, 350, 221, 487
• GCD of 979, 149, 635, 286
• GCD of 828, 499, 200, 445
• GCD of 482, 377, 713, 837

Given numbers are 344, 324, 748, 990
The greatest common divisor of numbers 344, 324, 748, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 324, 748, 990 is 2.

1. What is the GCD of 344, 324, 748, 990?

GCD of given numbers 344, 324, 748, 990 is 2

2. How to calculate the greatest common divisor of 344, 324, 748, 990?

We can find the highest common divisor of 344, 324, 748, 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 344, 324, 748, 990 i.e 2.

3. How can I use the GCD of 344, 324, 748, 990Calculator?

Out the numbers 344, 324, 748, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.