GCD of 132, 345, 927, 225 Calculator

Given Input numbers are 132, 345, 927, 225

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (132, 345, 927, 225) = 3.

Given numbers are 132, 345, 927, 225

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 927 are 3 x 3 x 103

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 132, 345, 927, 225 is 3.

Given numbers are 132, 345, 927, 225

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

Apply this formula for all numbers.

Step1:

LCM(132, 345) = 15180

GCD(132, 345) = ( 132 x 345 ) / 15180

= 132 / 345

= 132

Step2:

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

= 3 / 927

= 3

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 132, 345, 927, 225 is 3

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Given numbers are 132, 345, 927, 225
The greatest common divisor of numbers 132, 345, 927, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 345, 927, 225 is 3.

1. What is the GCD of 132, 345, 927, 225?

GCD of given numbers 132, 345, 927, 225 is 3

2. How to calculate the greatest common divisor of 132, 345, 927, 225?

We can find the highest common divisor of 132, 345, 927, 225 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, 345, 927, 225 i.e 3.

3. How can I use the GCD of 132, 345, 927, 225Calculator?

Out the numbers 132, 345, 927, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.