GCD of 171, 625, 176, 221 Calculator

Given Input numbers are 171, 625, 176, 221

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 171, 625, 176, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 625, 176, 221 is 1.

Therefore, GCD of numbers 171, 625, 176, 221 is 1

Given Input Data is 171, 625, 176, 221

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 221 is 13 x 17

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(171, 625) = 106875

GCD(171, 625) = ( 171 x 625 ) / 106875

GCD(171, 625) = 106875 / 106875

GCD(171, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 171, 625, 176, 221 is 1

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1. What is the GCD of 171, 625, 176, 221?

GCD of 171, 625, 176, 221 is 1

2. Where do I get the detailed procedure to find GCD of 171, 625, 176, 221?

You can find a detailed procedure to find GCD of 171, 625, 176, 221 on our page.

3. How to find GCD of 171, 625, 176, 221 on a calculator?

You can find the GCD of 171, 625, 176, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.