GCD of 123, 189, 600, 481 Calculator

Given Input numbers are 123, 189, 600, 481

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

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

GCD of numbers is the greatest common divisor

So, the GCD (123, 189, 600, 481) = 1.

Given numbers are 123, 189, 600, 481

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 481 are 13 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 123, 189, 600, 481

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

Apply this formula for all numbers.

Step1:

LCM(123, 189) = 7749

GCD(123, 189) = ( 123 x 189 ) / 7749

= 123 / 189

= 123

Step2:

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

= 3 / 600

= 3

Step3:

LCM(3, 481) = 1443

GCD(3, 481) = ( 3 x 481 ) / 1443

= 3 / 481

= 3

So, Greatest Common Divisor of 123, 189, 600, 481 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 615, 813, 546
• GCD of 408, 489, 799, 172
• GCD of 442, 930, 944, 405
• GCD of 628, 758, 708, 522
• GCD of 563, 711, 746, 405

Given numbers are 123, 189, 600, 481
The greatest common divisor of numbers 123, 189, 600, 481 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 189, 600, 481 is 1.

1. What is the GCD of 123, 189, 600, 481?

GCD of given numbers 123, 189, 600, 481 is 1

2. How to calculate the greatest common divisor of 123, 189, 600, 481?

We can find the highest common divisor of 123, 189, 600, 481 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 123, 189, 600, 481 i.e 1.

3. How can I use the GCD of 123, 189, 600, 481Calculator?

Out the numbers 123, 189, 600, 481 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.