GCD of 123, 390, 64, 423 Calculator

Given Input numbers are 123, 390, 64, 423

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

Divisors of 123

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

1, 3, 41, 123

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 123, 390, 64, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 390, 64, 423 is 1.

Therefore, GCD of numbers 123, 390, 64, 423 is 1

Given Input Data is 123, 390, 64, 423

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

Prime Factorization of 123 is 3 x 41

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 423 is 3 x 3 x 47

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

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(123, 390) = 15990

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

GCD(123, 390) = 47970 / 15990

GCD(123, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

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

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 123, 390, 64, 423 is 1

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1. What is the GCD of 123, 390, 64, 423?

GCD of 123, 390, 64, 423 is 1

2. Where do I get the detailed procedure to find GCD of 123, 390, 64, 423?

You can find a detailed procedure to find GCD of 123, 390, 64, 423 on our page.

3. How to find GCD of 123, 390, 64, 423 on a calculator?

You can find the GCD of 123, 390, 64, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.