GCD of 144, 396, 38, 642 Calculator

Given Input numbers are 144, 396, 38, 642

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

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (144, 396, 38, 642) = 2.

Given numbers are 144, 396, 38, 642

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 38 are 2 x 19

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 144, 396, 38, 642 is 2.

Given numbers are 144, 396, 38, 642

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

Apply this formula for all numbers.

Step1:

LCM(144, 396) = 1584

GCD(144, 396) = ( 144 x 396 ) / 1584

= 144 / 396

= 144

Step2:

LCM(36, 38) = 684

GCD(36, 38) = ( 36 x 38 ) / 684

= 36 / 38

= 36

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 144, 396, 38, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 804, 20, 313
• GCD of 545, 650, 52, 108
• GCD of 727, 313, 42, 318
• GCD of 443, 169, 84, 278
• GCD of 904, 592, 25, 510

Given numbers are 144, 396, 38, 642
The greatest common divisor of numbers 144, 396, 38, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 396, 38, 642 is 2.

1. What is the GCD of 144, 396, 38, 642?

GCD of given numbers 144, 396, 38, 642 is 2

2. How to calculate the greatest common divisor of 144, 396, 38, 642?

We can find the highest common divisor of 144, 396, 38, 642 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 144, 396, 38, 642 i.e 2.

3. How can I use the GCD of 144, 396, 38, 642Calculator?

Out the numbers 144, 396, 38, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.