GCD of 123, 428, 556, 500 Calculator

Given Input numbers are 123, 428, 556, 500

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (123, 428, 556, 500) = 1.

Given numbers are 123, 428, 556, 500

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 428 are 2 x 2 x 107

Prime factors of 556 are 2 x 2 x 139

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Given numbers are 123, 428, 556, 500

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

Apply this formula for all numbers.

Step1:

LCM(123, 428) = 52644

GCD(123, 428) = ( 123 x 428 ) / 52644

= 123 / 428

= 123

Step2:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 123, 428, 556, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 824, 525, 637
• GCD of 576, 460, 859, 611
• GCD of 861, 477, 418, 495
• GCD of 410, 912, 258, 486
• GCD of 513, 144, 403, 368

Given numbers are 123, 428, 556, 500
The greatest common divisor of numbers 123, 428, 556, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 428, 556, 500 is 1.

1. What is the GCD of 123, 428, 556, 500?

GCD of given numbers 123, 428, 556, 500 is 1

2. How to calculate the greatest common divisor of 123, 428, 556, 500?

We can find the highest common divisor of 123, 428, 556, 500 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, 428, 556, 500 i.e 1.

3. How can I use the GCD of 123, 428, 556, 500Calculator?

Out the numbers 123, 428, 556, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.