GCD of 243, 623, 23, 142 Calculator

Given Input numbers are 243, 623, 23, 142

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 23

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

1, 23

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 243, 623, 23, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 623, 23, 142 is 1.

Therefore, GCD of numbers 243, 623, 23, 142 is 1

Given Input Data is 243, 623, 23, 142

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 623 is 7 x 89

Prime Factorization of 23 is 23

Prime Factorization of 142 is 2 x 71

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(243, 623) = 151389

GCD(243, 623) = ( 243 x 623 ) / 151389

GCD(243, 623) = 151389 / 151389

GCD(243, 623) = 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 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 243, 623, 23, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 757, 65, 318
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• GCD of 117, 911, 16, 313
• GCD of 661, 661, 68, 315
• GCD of 514, 258, 53, 240

1. What is the GCD of 243, 623, 23, 142?

GCD of 243, 623, 23, 142 is 1

2. Where do I get the detailed procedure to find GCD of 243, 623, 23, 142?

You can find a detailed procedure to find GCD of 243, 623, 23, 142 on our page.

3. How to find GCD of 243, 623, 23, 142 on a calculator?

You can find the GCD of 243, 623, 23, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.