GCD of 438, 382, 928, 990 Calculator

Given Input numbers are 438, 382, 928, 990

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 (438, 382, 928, 990) = 2.

Given numbers are 438, 382, 928, 990

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 382 are 2 x 191

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 438, 382, 928, 990 is 2.

Given numbers are 438, 382, 928, 990

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

Apply this formula for all numbers.

Step1:

LCM(438, 382) = 83658

GCD(438, 382) = ( 438 x 382 ) / 83658

= 438 / 382

= 438

Step2:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 438, 382, 928, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 125, 565, 559
• GCD of 457, 621, 312, 845
• GCD of 665, 106, 601, 347
• GCD of 291, 870, 891, 440
• GCD of 216, 557, 493, 261

Given numbers are 438, 382, 928, 990
The greatest common divisor of numbers 438, 382, 928, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 382, 928, 990 is 2.

1. What is the GCD of 438, 382, 928, 990?

GCD of given numbers 438, 382, 928, 990 is 2

2. How to calculate the greatest common divisor of 438, 382, 928, 990?

We can find the highest common divisor of 438, 382, 928, 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 438, 382, 928, 990 i.e 2.

3. How can I use the GCD of 438, 382, 928, 990Calculator?

Out the numbers 438, 382, 928, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.