GCD of 172, 100, 97, 417 Calculator

Given Input numbers are 172, 100, 97, 417

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 172, 100, 97, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 100, 97, 417 is 1.

Therefore, GCD of numbers 172, 100, 97, 417 is 1

Given Input Data is 172, 100, 97, 417

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 97 is 97

Prime Factorization of 417 is 3 x 139

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, 100) = 4300

GCD(172, 100) = ( 172 x 100 ) / 4300

GCD(172, 100) = 17200 / 4300

GCD(172, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 97

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

LCM(4, 97) = 388

GCD(4, 97) = ( 4 x 97 ) / 388

GCD(4, 97) = 388 / 388

GCD(4, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 172, 100, 97, 417 is 1

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• GCD of 894, 962, 14, 725
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• GCD of 815, 629, 75, 483

1. What is the GCD of 172, 100, 97, 417?

GCD of 172, 100, 97, 417 is 1

2. Where do I get the detailed procedure to find GCD of 172, 100, 97, 417?

You can find a detailed procedure to find GCD of 172, 100, 97, 417 on our page.

3. How to find GCD of 172, 100, 97, 417 on a calculator?

You can find the GCD of 172, 100, 97, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.