GCD of 744, 264, 576, 162 Calculator

Given Input numbers are 744, 264, 576, 162

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (744, 264, 576, 162) = 6.

Given numbers are 744, 264, 576, 162

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 744, 264, 576, 162 is 6.

Given numbers are 744, 264, 576, 162

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

Apply this formula for all numbers.

Step1:

LCM(744, 264) = 8184

GCD(744, 264) = ( 744 x 264 ) / 8184

= 744 / 264

= 744

Step2:

LCM(24, 576) = 576

GCD(24, 576) = ( 24 x 576 ) / 576

= 24 / 576

= 24

Step3:

LCM(24, 162) = 648

GCD(24, 162) = ( 24 x 162 ) / 648

= 24 / 162

= 24

So, Greatest Common Divisor of 744, 264, 576, 162 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 275, 795, 900
• GCD of 611, 301, 965, 672
• GCD of 649, 899, 522, 700
• GCD of 683, 402, 515, 160
• GCD of 412, 131, 789, 994

Given numbers are 744, 264, 576, 162
The greatest common divisor of numbers 744, 264, 576, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 264, 576, 162 is 6.

1. What is the GCD of 744, 264, 576, 162?

GCD of given numbers 744, 264, 576, 162 is 6

2. How to calculate the greatest common divisor of 744, 264, 576, 162?

We can find the highest common divisor of 744, 264, 576, 162 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 744, 264, 576, 162 i.e 6.

3. How can I use the GCD of 744, 264, 576, 162Calculator?

Out the numbers 744, 264, 576, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.