GCD of 172, 409, 152 Calculator

Given Input numbers are 172, 409, 152

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 172, 409, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 409, 152 is 1.

Therefore, GCD of numbers 172, 409, 152 is 1

Given Input Data is 172, 409, 152

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 409 is 409

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(172, 409) = 70348

GCD(172, 409) = ( 172 x 409 ) / 70348

GCD(172, 409) = 70348 / 70348

GCD(172, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 172, 409, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 728, 230
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1. What is the GCD of 172, 409, 152?

GCD of 172, 409, 152 is 1

2. Where do I get the detailed procedure to find GCD of 172, 409, 152?

You can find a detailed procedure to find GCD of 172, 409, 152 on our page.

3. How to find GCD of 172, 409, 152 on a calculator?

You can find the GCD of 172, 409, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.