GCD of 390, 123, 60, 159 Calculator

Given Input numbers are 390, 123, 60, 159

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 390, 123, 60, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 123, 60, 159 is 3.

Therefore, GCD of numbers 390, 123, 60, 159 is 3

Given Input Data is 390, 123, 60, 159

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 123 is 3 x 41

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 159 is 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(390, 123) = 15990

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

GCD(390, 123) = 47970 / 15990

GCD(390, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 159

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

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

GCD(3, 159) = 477 / 159

GCD(3, 159) = 3

GCD of 390, 123, 60, 159 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 529, 25, 891
• GCD of 697, 762, 19, 333
• GCD of 613, 744, 49, 568
• GCD of 873, 392, 40, 983
• GCD of 338, 766, 81, 673

1. What is the GCD of 390, 123, 60, 159?

GCD of 390, 123, 60, 159 is 3

2. Where do I get the detailed procedure to find GCD of 390, 123, 60, 159?

You can find a detailed procedure to find GCD of 390, 123, 60, 159 on our page.

3. How to find GCD of 390, 123, 60, 159 on a calculator?

You can find the GCD of 390, 123, 60, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.