GCD of 226, 272, 234, 142 Calculator

Given Input numbers are 226, 272, 234, 142

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

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 226, 272, 234, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 272, 234, 142 is 2.

Therefore, GCD of numbers 226, 272, 234, 142 is 2

Given Input Data is 226, 272, 234, 142

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 142 is 2 x 71

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(226, 272) = 30736

GCD(226, 272) = ( 226 x 272 ) / 30736

GCD(226, 272) = 61472 / 30736

GCD(226, 272) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

GCD of 226, 272, 234, 142 is 2

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1. What is the GCD of 226, 272, 234, 142?

GCD of 226, 272, 234, 142 is 2

2. Where do I get the detailed procedure to find GCD of 226, 272, 234, 142?

You can find a detailed procedure to find GCD of 226, 272, 234, 142 on our page.

3. How to find GCD of 226, 272, 234, 142 on a calculator?

You can find the GCD of 226, 272, 234, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.