GCD of 174, 697, 714, 364 Calculator

Given Input numbers are 174, 697, 714, 364

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 174, 697, 714, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 697, 714, 364 is 1.

Therefore, GCD of numbers 174, 697, 714, 364 is 1

Given Input Data is 174, 697, 714, 364

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 697 is 17 x 41

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 697) = 121278

GCD(174, 697) = ( 174 x 697 ) / 121278

GCD(174, 697) = 121278 / 121278

GCD(174, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 174, 697, 714, 364 is 1

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1. What is the GCD of 174, 697, 714, 364?

GCD of 174, 697, 714, 364 is 1

2. Where do I get the detailed procedure to find GCD of 174, 697, 714, 364?

You can find a detailed procedure to find GCD of 174, 697, 714, 364 on our page.

3. How to find GCD of 174, 697, 714, 364 on a calculator?

You can find the GCD of 174, 697, 714, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.