GCD of 261, 192, 396, 216 Calculator

Given Input numbers are 261, 192, 396, 216

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (261, 192, 396, 216) = 3.

Given numbers are 261, 192, 396, 216

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 261, 192, 396, 216 is 3.

Given numbers are 261, 192, 396, 216

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

Apply this formula for all numbers.

Step1:

LCM(261, 192) = 16704

GCD(261, 192) = ( 261 x 192 ) / 16704

= 261 / 192

= 261

Step2:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 261, 192, 396, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 101, 404, 462
• GCD of 984, 115, 622, 729
• GCD of 623, 492, 823, 917
• GCD of 452, 121, 461, 715
• GCD of 617, 683, 463, 473

Given numbers are 261, 192, 396, 216
The greatest common divisor of numbers 261, 192, 396, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 192, 396, 216 is 3.

1. What is the GCD of 261, 192, 396, 216?

GCD of given numbers 261, 192, 396, 216 is 3

2. How to calculate the greatest common divisor of 261, 192, 396, 216?

We can find the highest common divisor of 261, 192, 396, 216 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 261, 192, 396, 216 i.e 3.

3. How can I use the GCD of 261, 192, 396, 216Calculator?

Out the numbers 261, 192, 396, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.