GCD of 174, 994, 29, 643 Calculator

Given Input numbers are 174, 994, 29, 643

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 174, 994, 29, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 994, 29, 643 is 1.

Therefore, GCD of numbers 174, 994, 29, 643 is 1

Given Input Data is 174, 994, 29, 643

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 994 is 2 x 7 x 71

Prime Factorization of 29 is 29

Prime Factorization of 643 is 643

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, 994) = 86478

GCD(174, 994) = ( 174 x 994 ) / 86478

GCD(174, 994) = 172956 / 86478

GCD(174, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 174, 994, 29, 643 is 1

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1. What is the GCD of 174, 994, 29, 643?

GCD of 174, 994, 29, 643 is 1

2. Where do I get the detailed procedure to find GCD of 174, 994, 29, 643?

You can find a detailed procedure to find GCD of 174, 994, 29, 643 on our page.

3. How to find GCD of 174, 994, 29, 643 on a calculator?

You can find the GCD of 174, 994, 29, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.