GCD of 132, 180, 424, 178 Calculator

Given Input numbers are 132, 180, 424, 178

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (132, 180, 424, 178) = 2.

Given numbers are 132, 180, 424, 178

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 132, 180, 424, 178 is 2.

Given numbers are 132, 180, 424, 178

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

Apply this formula for all numbers.

Step1:

LCM(132, 180) = 1980

GCD(132, 180) = ( 132 x 180 ) / 1980

= 132 / 180

= 132

Step2:

LCM(12, 424) = 1272

GCD(12, 424) = ( 12 x 424 ) / 1272

= 12 / 424

= 12

Step3:

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

= 4 / 178

= 4

So, Greatest Common Divisor of 132, 180, 424, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 324, 410, 829
• GCD of 358, 286, 327, 432
• GCD of 557, 373, 278, 272
• GCD of 308, 540, 574, 840
• GCD of 914, 408, 894, 943

Given numbers are 132, 180, 424, 178
The greatest common divisor of numbers 132, 180, 424, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 180, 424, 178 is 2.

1. What is the GCD of 132, 180, 424, 178?

GCD of given numbers 132, 180, 424, 178 is 2

2. How to calculate the greatest common divisor of 132, 180, 424, 178?

We can find the highest common divisor of 132, 180, 424, 178 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, 180, 424, 178 i.e 2.

3. How can I use the GCD of 132, 180, 424, 178Calculator?

Out the numbers 132, 180, 424, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.