GCD of 148, 126, 226 Calculator

Given Input numbers are 148, 126, 226

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 148, 126, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 126, 226 is 2.

Therefore, GCD of numbers 148, 126, 226 is 2

Given Input Data is 148, 126, 226

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 226 is 2 x 113

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(148, 126) = 9324

GCD(148, 126) = ( 148 x 126 ) / 9324

GCD(148, 126) = 18648 / 9324

GCD(148, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 148, 126, 226 is 2

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1. What is the GCD of 148, 126, 226?

GCD of 148, 126, 226 is 2

2. Where do I get the detailed procedure to find GCD of 148, 126, 226?

You can find a detailed procedure to find GCD of 148, 126, 226 on our page.

3. How to find GCD of 148, 126, 226 on a calculator?

You can find the GCD of 148, 126, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.