GCD of 152, 538, 384, 744 Calculator

Given Input numbers are 152, 538, 384, 744

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (152, 538, 384, 744) = 2.

Given numbers are 152, 538, 384, 744

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 538 are 2 x 269

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 152, 538, 384, 744 is 2.

Given numbers are 152, 538, 384, 744

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

Apply this formula for all numbers.

Step1:

LCM(152, 538) = 40888

GCD(152, 538) = ( 152 x 538 ) / 40888

= 152 / 538

= 152

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 152, 538, 384, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 769, 827, 156
• GCD of 886, 375, 110, 141
• GCD of 179, 663, 172, 451
• GCD of 472, 780, 277, 725
• GCD of 621, 146, 922, 393

Given numbers are 152, 538, 384, 744
The greatest common divisor of numbers 152, 538, 384, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 538, 384, 744 is 2.

1. What is the GCD of 152, 538, 384, 744?

GCD of given numbers 152, 538, 384, 744 is 2

2. How to calculate the greatest common divisor of 152, 538, 384, 744?

We can find the highest common divisor of 152, 538, 384, 744 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 152, 538, 384, 744 i.e 2.

3. How can I use the GCD of 152, 538, 384, 744Calculator?

Out the numbers 152, 538, 384, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.