GCD of 497, 628, 696, 174 Calculator

Given Input numbers are 497, 628, 696, 174

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 497, 628, 696, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 628, 696, 174 is 1.

Therefore, GCD of numbers 497, 628, 696, 174 is 1

Given Input Data is 497, 628, 696, 174

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 174 is 2 x 3 x 29

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(497, 628) = 312116

GCD(497, 628) = ( 497 x 628 ) / 312116

GCD(497, 628) = 312116 / 312116

GCD(497, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 497, 628, 696, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 825, 730, 796
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• GCD of 796, 888, 240, 547

1. What is the GCD of 497, 628, 696, 174?

GCD of 497, 628, 696, 174 is 1

2. Where do I get the detailed procedure to find GCD of 497, 628, 696, 174?

You can find a detailed procedure to find GCD of 497, 628, 696, 174 on our page.

3. How to find GCD of 497, 628, 696, 174 on a calculator?

You can find the GCD of 497, 628, 696, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.