GCD of 738, 351, 792, 384 Calculator

Given Input numbers are 738, 351, 792, 384

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (738, 351, 792, 384) = 3.

Given numbers are 738, 351, 792, 384

The list of prime factors of all numbers are

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

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 738, 351, 792, 384 is 3.

Given numbers are 738, 351, 792, 384

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

Apply this formula for all numbers.

Step1:

LCM(738, 351) = 28782

GCD(738, 351) = ( 738 x 351 ) / 28782

= 738 / 351

= 738

Step2:

LCM(9, 792) = 792

GCD(9, 792) = ( 9 x 792 ) / 792

= 9 / 792

= 9

Step3:

LCM(9, 384) = 1152

GCD(9, 384) = ( 9 x 384 ) / 1152

= 9 / 384

= 9

So, Greatest Common Divisor of 738, 351, 792, 384 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 176, 257, 489
• GCD of 641, 692, 395, 452
• GCD of 241, 475, 998, 511
• GCD of 349, 986, 491, 224
• GCD of 612, 210, 853, 334

Given numbers are 738, 351, 792, 384
The greatest common divisor of numbers 738, 351, 792, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 351, 792, 384 is 3.

1. What is the GCD of 738, 351, 792, 384?

GCD of given numbers 738, 351, 792, 384 is 3

2. How to calculate the greatest common divisor of 738, 351, 792, 384?

We can find the highest common divisor of 738, 351, 792, 384 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, 351, 792, 384 i.e 3.

3. How can I use the GCD of 738, 351, 792, 384Calculator?

Out the numbers 738, 351, 792, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.