GCD of 171, 891, 90, 953 Calculator

Given Input numbers are 171, 891, 90, 953

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 171, 891, 90, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 891, 90, 953 is 1.

Therefore, GCD of numbers 171, 891, 90, 953 is 1

Given Input Data is 171, 891, 90, 953

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 953 is 953

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, 891) = 16929

GCD(171, 891) = ( 171 x 891 ) / 16929

GCD(171, 891) = 152361 / 16929

GCD(171, 891) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 90

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

LCM(9, 90) = 90

GCD(9, 90) = ( 9 x 90 ) / 90

GCD(9, 90) = 810 / 90

GCD(9, 90) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 953

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

LCM(9, 953) = 8577

GCD(9, 953) = ( 9 x 953 ) / 8577

GCD(9, 953) = 8577 / 8577

GCD(9, 953) = 1

GCD of 171, 891, 90, 953 is 1

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• GCD of 939, 191, 11, 100
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1. What is the GCD of 171, 891, 90, 953?

GCD of 171, 891, 90, 953 is 1

2. Where do I get the detailed procedure to find GCD of 171, 891, 90, 953?

You can find a detailed procedure to find GCD of 171, 891, 90, 953 on our page.

3. How to find GCD of 171, 891, 90, 953 on a calculator?

You can find the GCD of 171, 891, 90, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.