GCD of 872, 123, 423, 500 Calculator

Given Input numbers are 872, 123, 423, 500

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

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 (872, 123, 423, 500) = 1.

Given numbers are 872, 123, 423, 500

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 123 are 3 x 41

Prime factors of 423 are 3 x 3 x 47

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 872, 123, 423, 500

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

Apply this formula for all numbers.

Step1:

LCM(872, 123) = 107256

GCD(872, 123) = ( 872 x 123 ) / 107256

= 872 / 123

= 872

Step2:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

Step3:

LCM(1, 500) = 500

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

= 1 / 500

= 1

So, Greatest Common Divisor of 872, 123, 423, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 284, 187, 444
• GCD of 748, 997, 869, 561
• GCD of 773, 682, 898, 264
• GCD of 512, 973, 180, 368
• GCD of 901, 778, 505, 177

Given numbers are 872, 123, 423, 500
The greatest common divisor of numbers 872, 123, 423, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 123, 423, 500 is 1.

1. What is the GCD of 872, 123, 423, 500?

GCD of given numbers 872, 123, 423, 500 is 1

2. How to calculate the greatest common divisor of 872, 123, 423, 500?

We can find the highest common divisor of 872, 123, 423, 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 872, 123, 423, 500 i.e 1.

3. How can I use the GCD of 872, 123, 423, 500Calculator?

Out the numbers 872, 123, 423, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.