GCD of 177, 164, 74, 226 Calculator

Given Input numbers are 177, 164, 74, 226

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

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 177, 164, 74, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 164, 74, 226 is 1.

Therefore, GCD of numbers 177, 164, 74, 226 is 1

Given Input Data is 177, 164, 74, 226

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 74 is 2 x 37

Prime Factorization of 226 is 2 x 113

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(177, 164) = 29028

GCD(177, 164) = ( 177 x 164 ) / 29028

GCD(177, 164) = 29028 / 29028

GCD(177, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 177, 164, 74, 226 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 177, 164, 74, 226?

GCD of 177, 164, 74, 226 is 1

2. Where do I get the detailed procedure to find GCD of 177, 164, 74, 226?

You can find a detailed procedure to find GCD of 177, 164, 74, 226 on our page.

3. How to find GCD of 177, 164, 74, 226 on a calculator?

You can find the GCD of 177, 164, 74, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.