GCD of 732, 540, 444, 162 Calculator

Given Input numbers are 732, 540, 444, 162

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 (732, 540, 444, 162) = 6.

Given numbers are 732, 540, 444, 162

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 444 are 2 x 2 x 3 x 37

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 732, 540, 444, 162 is 6.

Given numbers are 732, 540, 444, 162

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

Apply this formula for all numbers.

Step1:

LCM(732, 540) = 32940

GCD(732, 540) = ( 732 x 540 ) / 32940

= 732 / 540

= 732

Step2:

LCM(12, 444) = 444

GCD(12, 444) = ( 12 x 444 ) / 444

= 12 / 444

= 12

Step3:

LCM(12, 162) = 324

GCD(12, 162) = ( 12 x 162 ) / 324

= 12 / 162

= 12

So, Greatest Common Divisor of 732, 540, 444, 162 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 449, 927, 728
• GCD of 234, 490, 606, 902
• GCD of 936, 659, 961, 606
• GCD of 451, 836, 576, 724
• GCD of 974, 639, 152, 205

Given numbers are 732, 540, 444, 162
The greatest common divisor of numbers 732, 540, 444, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 540, 444, 162 is 6.

1. What is the GCD of 732, 540, 444, 162?

GCD of given numbers 732, 540, 444, 162 is 6

2. How to calculate the greatest common divisor of 732, 540, 444, 162?

We can find the highest common divisor of 732, 540, 444, 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 732, 540, 444, 162 i.e 6.

3. How can I use the GCD of 732, 540, 444, 162Calculator?

Out the numbers 732, 540, 444, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.