GCD of 132, 144, 579, 222 Calculator

Given Input numbers are 132, 144, 579, 222

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (132, 144, 579, 222) = 3.

Given numbers are 132, 144, 579, 222

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 579 are 3 x 193

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 132, 144, 579, 222 is 3.

Given numbers are 132, 144, 579, 222

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

Apply this formula for all numbers.

Step1:

LCM(132, 144) = 1584

GCD(132, 144) = ( 132 x 144 ) / 1584

= 132 / 144

= 132

Step2:

LCM(12, 579) = 2316

GCD(12, 579) = ( 12 x 579 ) / 2316

= 12 / 579

= 12

Step3:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

So, Greatest Common Divisor of 132, 144, 579, 222 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 127, 515, 459
• GCD of 400, 429, 220, 102
• GCD of 548, 342, 706, 233
• GCD of 273, 517, 692, 588
• GCD of 878, 176, 155, 942

Given numbers are 132, 144, 579, 222
The greatest common divisor of numbers 132, 144, 579, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 144, 579, 222 is 3.

1. What is the GCD of 132, 144, 579, 222?

GCD of given numbers 132, 144, 579, 222 is 3

2. How to calculate the greatest common divisor of 132, 144, 579, 222?

We can find the highest common divisor of 132, 144, 579, 222 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 132, 144, 579, 222 i.e 3.

3. How can I use the GCD of 132, 144, 579, 222Calculator?

Out the numbers 132, 144, 579, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.