GCD of 174, 614, 654, 187 Calculator

Given Input numbers are 174, 614, 654, 187

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 174, 614, 654, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 614, 654, 187 is 1.

Therefore, GCD of numbers 174, 614, 654, 187 is 1

Given Input Data is 174, 614, 654, 187

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 614 is 2 x 307

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 187 is 11 x 17

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, 614) = 53418

GCD(174, 614) = ( 174 x 614 ) / 53418

GCD(174, 614) = 106836 / 53418

GCD(174, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 174, 614, 654, 187 is 1

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• GCD of 446, 751, 251, 684
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1. What is the GCD of 174, 614, 654, 187?

GCD of 174, 614, 654, 187 is 1

2. Where do I get the detailed procedure to find GCD of 174, 614, 654, 187?

You can find a detailed procedure to find GCD of 174, 614, 654, 187 on our page.

3. How to find GCD of 174, 614, 654, 187 on a calculator?

You can find the GCD of 174, 614, 654, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.