GCD of 123, 438, 872 Calculator

Given Input numbers are 123, 438, 872

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (123, 438, 872) = 1.

Given numbers are 123, 438, 872

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 438 are 2 x 3 x 73

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

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

Given numbers are 123, 438, 872

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

Apply this formula for all numbers.

Step1:

LCM(123, 438) = 17958

GCD(123, 438) = ( 123 x 438 ) / 17958

= 123 / 438

= 123

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

So, Greatest Common Divisor of 123, 438, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 264, 184
• GCD of 892, 961, 308
• GCD of 941, 266, 863
• GCD of 813, 413, 829
• GCD of 550, 401, 872

Given numbers are 123, 438, 872
The greatest common divisor of numbers 123, 438, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 438, 872 is 1.

1. What is the GCD of 123, 438, 872?

GCD of given numbers 123, 438, 872 is 1

2. How to calculate the greatest common divisor of 123, 438, 872?

We can find the highest common divisor of 123, 438, 872 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, 438, 872 i.e 1.

3. How can I use the GCD of 123, 438, 872Calculator?

Out the numbers 123, 438, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.