GCD of 226, 372, 45, 664 Calculator

Given Input numbers are 226, 372, 45, 664

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 226, 372, 45, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 372, 45, 664 is 1.

Therefore, GCD of numbers 226, 372, 45, 664 is 1

Given Input Data is 226, 372, 45, 664

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(226, 372) = 42036

GCD(226, 372) = ( 226 x 372 ) / 42036

GCD(226, 372) = 84072 / 42036

GCD(226, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 226, 372, 45, 664 is 1

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• GCD of 226, 270, 95, 593
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• GCD of 830, 566, 43, 731

1. What is the GCD of 226, 372, 45, 664?

GCD of 226, 372, 45, 664 is 1

2. Where do I get the detailed procedure to find GCD of 226, 372, 45, 664?

You can find a detailed procedure to find GCD of 226, 372, 45, 664 on our page.

3. How to find GCD of 226, 372, 45, 664 on a calculator?

You can find the GCD of 226, 372, 45, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.