GCD of 256, 192, 48, 738 Calculator

Given Input numbers are 256, 192, 48, 738

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

GCD of numbers is the greatest common divisor

So, the GCD (256, 192, 48, 738) = 2.

Given numbers are 256, 192, 48, 738

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 256, 192, 48, 738 is 2.

Given numbers are 256, 192, 48, 738

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

Apply this formula for all numbers.

Step1:

LCM(256, 192) = 768

GCD(256, 192) = ( 256 x 192 ) / 768

= 256 / 192

= 256

Step2:

LCM(64, 48) = 192

GCD(64, 48) = ( 64 x 48 ) / 192

= 64 / 48

= 64

Step3:

LCM(16, 738) = 5904

GCD(16, 738) = ( 16 x 738 ) / 5904

= 16 / 738

= 16

So, Greatest Common Divisor of 256, 192, 48, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 890, 36, 701
• GCD of 598, 964, 76, 279
• GCD of 746, 421, 65, 760
• GCD of 757, 984, 82, 656
• GCD of 664, 371, 43, 925

Given numbers are 256, 192, 48, 738
The greatest common divisor of numbers 256, 192, 48, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 192, 48, 738 is 2.

1. What is the GCD of 256, 192, 48, 738?

GCD of given numbers 256, 192, 48, 738 is 2

2. How to calculate the greatest common divisor of 256, 192, 48, 738?

We can find the highest common divisor of 256, 192, 48, 738 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 256, 192, 48, 738 i.e 2.

3. How can I use the GCD of 256, 192, 48, 738Calculator?

Out the numbers 256, 192, 48, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.