GCD of 403, 171, 34, 100 Calculator

Given Input numbers are 403, 171, 34, 100

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

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 403, 171, 34, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 171, 34, 100 is 1.

Therefore, GCD of numbers 403, 171, 34, 100 is 1

Given Input Data is 403, 171, 34, 100

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 34 is 2 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(403, 171) = 68913

GCD(403, 171) = ( 403 x 171 ) / 68913

GCD(403, 171) = 68913 / 68913

GCD(403, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 403, 171, 34, 100 is 1

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1. What is the GCD of 403, 171, 34, 100?

GCD of 403, 171, 34, 100 is 1

2. Where do I get the detailed procedure to find GCD of 403, 171, 34, 100?

You can find a detailed procedure to find GCD of 403, 171, 34, 100 on our page.

3. How to find GCD of 403, 171, 34, 100 on a calculator?

You can find the GCD of 403, 171, 34, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.