GCD of 429, 274, 23, 238 Calculator

Given Input numbers are 429, 274, 23, 238

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 429, 274, 23, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 274, 23, 238 is 1.

Therefore, GCD of numbers 429, 274, 23, 238 is 1

Given Input Data is 429, 274, 23, 238

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 274 is 2 x 137

Prime Factorization of 23 is 23

Prime Factorization of 238 is 2 x 7 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(429, 274) = 117546

GCD(429, 274) = ( 429 x 274 ) / 117546

GCD(429, 274) = 117546 / 117546

GCD(429, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 429, 274, 23, 238 is 1

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1. What is the GCD of 429, 274, 23, 238?

GCD of 429, 274, 23, 238 is 1

2. Where do I get the detailed procedure to find GCD of 429, 274, 23, 238?

You can find a detailed procedure to find GCD of 429, 274, 23, 238 on our page.

3. How to find GCD of 429, 274, 23, 238 on a calculator?

You can find the GCD of 429, 274, 23, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.