GCD of 123, 390, 523, 444 Calculator

Given Input numbers are 123, 390, 523, 444

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

GCD of numbers is the greatest common divisor

So, the GCD (123, 390, 523, 444) = 1.

Given numbers are 123, 390, 523, 444

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 523 are 523

Prime factors of 444 are 2 x 2 x 3 x 37

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

Given numbers are 123, 390, 523, 444

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

Apply this formula for all numbers.

Step1:

LCM(123, 390) = 15990

GCD(123, 390) = ( 123 x 390 ) / 15990

= 123 / 390

= 123

Step2:

LCM(3, 523) = 1569

GCD(3, 523) = ( 3 x 523 ) / 1569

= 3 / 523

= 3

Step3:

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

= 1 / 444

= 1

So, Greatest Common Divisor of 123, 390, 523, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 776, 574, 371
• GCD of 275, 517, 976, 861
• GCD of 554, 653, 595, 320
• GCD of 987, 470, 232, 661
• GCD of 523, 353, 835, 136

Given numbers are 123, 390, 523, 444
The greatest common divisor of numbers 123, 390, 523, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 390, 523, 444 is 1.

1. What is the GCD of 123, 390, 523, 444?

GCD of given numbers 123, 390, 523, 444 is 1

2. How to calculate the greatest common divisor of 123, 390, 523, 444?

We can find the highest common divisor of 123, 390, 523, 444 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, 390, 523, 444 i.e 1.

3. How can I use the GCD of 123, 390, 523, 444Calculator?

Out the numbers 123, 390, 523, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.