GCD of 229, 335, 188, 123 Calculator

Given Input numbers are 229, 335, 188, 123

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 229, 335, 188, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 335, 188, 123 is 1.

Therefore, GCD of numbers 229, 335, 188, 123 is 1

Given Input Data is 229, 335, 188, 123

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

Prime Factorization of 229 is 229

Prime Factorization of 335 is 5 x 67

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 123 is 3 x 41

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(229, 335) = 76715

GCD(229, 335) = ( 229 x 335 ) / 76715

GCD(229, 335) = 76715 / 76715

GCD(229, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 229, 335, 188, 123 is 1

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1. What is the GCD of 229, 335, 188, 123?

GCD of 229, 335, 188, 123 is 1

2. Where do I get the detailed procedure to find GCD of 229, 335, 188, 123?

You can find a detailed procedure to find GCD of 229, 335, 188, 123 on our page.

3. How to find GCD of 229, 335, 188, 123 on a calculator?

You can find the GCD of 229, 335, 188, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.