GCD of 392, 438, 990, 144 Calculator

Given Input numbers are 392, 438, 990, 144

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 438 :

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

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (392, 438, 990, 144) = 2.

Given numbers are 392, 438, 990, 144

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 392, 438, 990, 144 is 2.

Given numbers are 392, 438, 990, 144

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

Apply this formula for all numbers.

Step1:

LCM(392, 438) = 85848

GCD(392, 438) = ( 392 x 438 ) / 85848

= 392 / 438

= 392

Step2:

LCM(2, 990) = 990

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

= 2 / 990

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 392, 438, 990, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 528, 550, 186
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Given numbers are 392, 438, 990, 144
The greatest common divisor of numbers 392, 438, 990, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 438, 990, 144 is 2.

1. What is the GCD of 392, 438, 990, 144?

GCD of given numbers 392, 438, 990, 144 is 2

2. How to calculate the greatest common divisor of 392, 438, 990, 144?

We can find the highest common divisor of 392, 438, 990, 144 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 392, 438, 990, 144 i.e 2.

3. How can I use the GCD of 392, 438, 990, 144Calculator?

Out the numbers 392, 438, 990, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.