GCD of 123, 428, 451, 406 Calculator

Given Input numbers are 123, 428, 451, 406

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 123, 428, 451, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 428, 451, 406 is 1.

Therefore, GCD of numbers 123, 428, 451, 406 is 1

Given Input Data is 123, 428, 451, 406

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 451 is 11 x 41

Prime Factorization of 406 is 2 x 7 x 29

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, 428) = 52644

GCD(123, 428) = ( 123 x 428 ) / 52644

GCD(123, 428) = 52644 / 52644

GCD(123, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 451

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

LCM(1, 451) = 451

GCD(1, 451) = ( 1 x 451 ) / 451

GCD(1, 451) = 451 / 451

GCD(1, 451) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 123, 428, 451, 406 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 768, 719, 819
• GCD of 481, 117, 719, 341
• GCD of 708, 787, 790, 713
• GCD of 405, 553, 969, 273
• GCD of 141, 876, 172, 544

1. What is the GCD of 123, 428, 451, 406?

GCD of 123, 428, 451, 406 is 1

2. Where do I get the detailed procedure to find GCD of 123, 428, 451, 406?

You can find a detailed procedure to find GCD of 123, 428, 451, 406 on our page.

3. How to find GCD of 123, 428, 451, 406 on a calculator?

You can find the GCD of 123, 428, 451, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.