GCD of 123, 412, 706 Calculator

Given Input numbers are 123, 412, 706

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 123, 412, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 412, 706 is 1.

Therefore, GCD of numbers 123, 412, 706 is 1

Given Input Data is 123, 412, 706

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 706 is 2 x 353

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, 412) = 50676

GCD(123, 412) = ( 123 x 412 ) / 50676

GCD(123, 412) = 50676 / 50676

GCD(123, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 123, 412, 706 is 1

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1. What is the GCD of 123, 412, 706?

GCD of 123, 412, 706 is 1

2. Where do I get the detailed procedure to find GCD of 123, 412, 706?

You can find a detailed procedure to find GCD of 123, 412, 706 on our page.

3. How to find GCD of 123, 412, 706 on a calculator?

You can find the GCD of 123, 412, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.