GCD of 324, 754, 728, 162 Calculator

Given Input numbers are 324, 754, 728, 162

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 (324, 754, 728, 162) = 2.

Given numbers are 324, 754, 728, 162

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 754 are 2 x 13 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 324, 754, 728, 162 is 2.

Given numbers are 324, 754, 728, 162

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

Apply this formula for all numbers.

Step1:

LCM(324, 754) = 122148

GCD(324, 754) = ( 324 x 754 ) / 122148

= 324 / 754

= 324

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 324, 754, 728, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 923, 258, 915
• GCD of 211, 641, 760, 531
• GCD of 508, 929, 584, 625
• GCD of 925, 642, 412, 689
• GCD of 466, 954, 979, 819

Given numbers are 324, 754, 728, 162
The greatest common divisor of numbers 324, 754, 728, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 754, 728, 162 is 2.

1. What is the GCD of 324, 754, 728, 162?

GCD of given numbers 324, 754, 728, 162 is 2

2. How to calculate the greatest common divisor of 324, 754, 728, 162?

We can find the highest common divisor of 324, 754, 728, 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 324, 754, 728, 162 i.e 2.

3. How can I use the GCD of 324, 754, 728, 162Calculator?

Out the numbers 324, 754, 728, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.