GCD of 180, 165, 192, 123 Calculator

Given Input numbers are 180, 165, 192, 123

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

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (180, 165, 192, 123) = 3.

Given numbers are 180, 165, 192, 123

The list of prime factors of all numbers are

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

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 180, 165, 192, 123 is 3.

Given numbers are 180, 165, 192, 123

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

Apply this formula for all numbers.

Step1:

LCM(180, 165) = 1980

GCD(180, 165) = ( 180 x 165 ) / 1980

= 180 / 165

= 180

Step2:

LCM(15, 192) = 960

GCD(15, 192) = ( 15 x 192 ) / 960

= 15 / 192

= 15

Step3:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 180, 165, 192, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 573, 729, 750
• GCD of 607, 379, 549, 271
• GCD of 930, 653, 627, 618
• GCD of 785, 110, 920, 686
• GCD of 985, 740, 687, 629

Given numbers are 180, 165, 192, 123
The greatest common divisor of numbers 180, 165, 192, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 165, 192, 123 is 3.

1. What is the GCD of 180, 165, 192, 123?

GCD of given numbers 180, 165, 192, 123 is 3

2. How to calculate the greatest common divisor of 180, 165, 192, 123?

We can find the highest common divisor of 180, 165, 192, 123 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 180, 165, 192, 123 i.e 3.

3. How can I use the GCD of 180, 165, 192, 123Calculator?

Out the numbers 180, 165, 192, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.