GCD of 123, 408, 62, 612 Calculator

Given Input numbers are 123, 408, 62, 612

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 123, 408, 62, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 408, 62, 612 is 1.

Therefore, GCD of numbers 123, 408, 62, 612 is 1

Given Input Data is 123, 408, 62, 612

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 62 is 2 x 31

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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, 408) = 16728

GCD(123, 408) = ( 123 x 408 ) / 16728

GCD(123, 408) = 50184 / 16728

GCD(123, 408) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 62

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

LCM(3, 62) = 186

GCD(3, 62) = ( 3 x 62 ) / 186

GCD(3, 62) = 186 / 186

GCD(3, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 123, 408, 62, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 495, 13, 789
• GCD of 347, 916, 41, 724
• GCD of 106, 981, 15, 369
• GCD of 470, 548, 14, 652
• GCD of 913, 121, 64, 880

1. What is the GCD of 123, 408, 62, 612?

GCD of 123, 408, 62, 612 is 1

2. Where do I get the detailed procedure to find GCD of 123, 408, 62, 612?

You can find a detailed procedure to find GCD of 123, 408, 62, 612 on our page.

3. How to find GCD of 123, 408, 62, 612 on a calculator?

You can find the GCD of 123, 408, 62, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.