GCD of 177, 414, 427 Calculator

Given Input numbers are 177, 414, 427

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 177, 414, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 414, 427 is 1.

Therefore, GCD of numbers 177, 414, 427 is 1

Given Input Data is 177, 414, 427

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

Prime Factorization of 177 is 3 x 59

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 427 is 7 x 61

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, 414) = 24426

GCD(177, 414) = ( 177 x 414 ) / 24426

GCD(177, 414) = 73278 / 24426

GCD(177, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 427

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

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

GCD(3, 427) = 1281 / 1281

GCD(3, 427) = 1

GCD of 177, 414, 427 is 1

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1. What is the GCD of 177, 414, 427?

GCD of 177, 414, 427 is 1

2. Where do I get the detailed procedure to find GCD of 177, 414, 427?

You can find a detailed procedure to find GCD of 177, 414, 427 on our page.

3. How to find GCD of 177, 414, 427 on a calculator?

You can find the GCD of 177, 414, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.