GCD of 174, 998, 971 Calculator

Given Input numbers are 174, 998, 971

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 174, 998, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 998, 971 is 1.

Therefore, GCD of numbers 174, 998, 971 is 1

Given Input Data is 174, 998, 971

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 998 is 2 x 499

Prime Factorization of 971 is 971

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(174, 998) = 86826

GCD(174, 998) = ( 174 x 998 ) / 86826

GCD(174, 998) = 173652 / 86826

GCD(174, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 174, 998, 971 is 1

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1. What is the GCD of 174, 998, 971?

GCD of 174, 998, 971 is 1

2. Where do I get the detailed procedure to find GCD of 174, 998, 971?

You can find a detailed procedure to find GCD of 174, 998, 971 on our page.

3. How to find GCD of 174, 998, 971 on a calculator?

You can find the GCD of 174, 998, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.