GCD of 159, 123, 108 Calculator

Given Input numbers are 159, 123, 108

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (159, 123, 108) = 3.

Given numbers are 159, 123, 108

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 123 are 3 x 41

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 159, 123, 108 is 3.

Given numbers are 159, 123, 108

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

Apply this formula for all numbers.

Step1:

LCM(159, 123) = 6519

GCD(159, 123) = ( 159 x 123 ) / 6519

= 159 / 123

= 159

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 159, 123, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 983, 441
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• GCD of 938, 528, 373
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Given numbers are 159, 123, 108
The greatest common divisor of numbers 159, 123, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 123, 108 is 3.

1. What is the GCD of 159, 123, 108?

GCD of given numbers 159, 123, 108 is 3

2. How to calculate the greatest common divisor of 159, 123, 108?

We can find the highest common divisor of 159, 123, 108 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 159, 123, 108 i.e 3.

3. How can I use the GCD of 159, 123, 108Calculator?

Out the numbers 159, 123, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.