GCD of 738, 642, 396, 819 Calculator

Given Input numbers are 738, 642, 396, 819

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 642 :

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

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

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (738, 642, 396, 819) = 3.

Given numbers are 738, 642, 396, 819

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 738, 642, 396, 819 is 3.

Given numbers are 738, 642, 396, 819

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

Apply this formula for all numbers.

Step1:

LCM(738, 642) = 78966

GCD(738, 642) = ( 738 x 642 ) / 78966

= 738 / 642

= 738

Step2:

LCM(6, 396) = 396

GCD(6, 396) = ( 6 x 396 ) / 396

= 6 / 396

= 6

Step3:

LCM(6, 819) = 1638

GCD(6, 819) = ( 6 x 819 ) / 1638

= 6 / 819

= 6

So, Greatest Common Divisor of 738, 642, 396, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 465, 167, 122
• GCD of 190, 844, 322, 554
• GCD of 398, 118, 273, 535
• GCD of 352, 574, 336, 745
• GCD of 297, 974, 845, 879

Given numbers are 738, 642, 396, 819
The greatest common divisor of numbers 738, 642, 396, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 642, 396, 819 is 3.

1. What is the GCD of 738, 642, 396, 819?

GCD of given numbers 738, 642, 396, 819 is 3

2. How to calculate the greatest common divisor of 738, 642, 396, 819?

We can find the highest common divisor of 738, 642, 396, 819 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 738, 642, 396, 819 i.e 3.

3. How can I use the GCD of 738, 642, 396, 819Calculator?

Out the numbers 738, 642, 396, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.