GCD of 732, 960, 162, 219 Calculator

Given Input numbers are 732, 960, 162, 219

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 162 :

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

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

GCD of numbers is the greatest common divisor

So, the GCD (732, 960, 162, 219) = 3.

Given numbers are 732, 960, 162, 219

The list of prime factors of all numbers are

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 219 are 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 732, 960, 162, 219 is 3.

Given numbers are 732, 960, 162, 219

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

Apply this formula for all numbers.

Step1:

LCM(732, 960) = 58560

GCD(732, 960) = ( 732 x 960 ) / 58560

= 732 / 960

= 732

Step2:

LCM(12, 162) = 324

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

= 12 / 162

= 12

Step3:

LCM(6, 219) = 438

GCD(6, 219) = ( 6 x 219 ) / 438

= 6 / 219

= 6

So, Greatest Common Divisor of 732, 960, 162, 219 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 265, 611, 110
• GCD of 412, 668, 845, 694
• GCD of 241, 943, 129, 357
• GCD of 776, 387, 652, 687
• GCD of 456, 663, 825, 846

Given numbers are 732, 960, 162, 219
The greatest common divisor of numbers 732, 960, 162, 219 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 960, 162, 219 is 3.

1. What is the GCD of 732, 960, 162, 219?

GCD of given numbers 732, 960, 162, 219 is 3

2. How to calculate the greatest common divisor of 732, 960, 162, 219?

We can find the highest common divisor of 732, 960, 162, 219 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, 960, 162, 219 i.e 3.

3. How can I use the GCD of 732, 960, 162, 219Calculator?

Out the numbers 732, 960, 162, 219 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.