GCD of 428, 114, 123, 322 Calculator

Given Input numbers are 428, 114, 123, 322

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

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 123

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

1, 3, 41, 123

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 428, 114, 123, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 114, 123, 322 is 1.

Therefore, GCD of numbers 428, 114, 123, 322 is 1

Given Input Data is 428, 114, 123, 322

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 123 is 3 x 41

Prime Factorization of 322 is 2 x 7 x 23

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(428, 114) = 24396

GCD(428, 114) = ( 428 x 114 ) / 24396

GCD(428, 114) = 48792 / 24396

GCD(428, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 123

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

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

GCD(2, 123) = 246 / 246

GCD(2, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 428, 114, 123, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 855, 963, 367
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• GCD of 112, 433, 454, 305

1. What is the GCD of 428, 114, 123, 322?

GCD of 428, 114, 123, 322 is 1

2. Where do I get the detailed procedure to find GCD of 428, 114, 123, 322?

You can find a detailed procedure to find GCD of 428, 114, 123, 322 on our page.

3. How to find GCD of 428, 114, 123, 322 on a calculator?

You can find the GCD of 428, 114, 123, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.