GCD of 173, 874, 90, 913 Calculator

Given Input numbers are 173, 874, 90, 913

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

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 173, 874, 90, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 874, 90, 913 is 1.

Therefore, GCD of numbers 173, 874, 90, 913 is 1

Given Input Data is 173, 874, 90, 913

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

Prime Factorization of 173 is 173

Prime Factorization of 874 is 2 x 19 x 23

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

Prime Factorization of 913 is 11 x 83

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(173, 874) = 151202

GCD(173, 874) = ( 173 x 874 ) / 151202

GCD(173, 874) = 151202 / 151202

GCD(173, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 173, 874, 90, 913 is 1

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1. What is the GCD of 173, 874, 90, 913?

GCD of 173, 874, 90, 913 is 1

2. Where do I get the detailed procedure to find GCD of 173, 874, 90, 913?

You can find a detailed procedure to find GCD of 173, 874, 90, 913 on our page.

3. How to find GCD of 173, 874, 90, 913 on a calculator?

You can find the GCD of 173, 874, 90, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.