GCD of 174, 497, 29, 542 Calculator

Given Input numbers are 174, 497, 29, 542

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 497

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

1, 7, 71, 497

Divisors of 29

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

1, 29

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 174, 497, 29, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 497, 29, 542 is 1.

Therefore, GCD of numbers 174, 497, 29, 542 is 1

Given Input Data is 174, 497, 29, 542

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 497 is 7 x 71

Prime Factorization of 29 is 29

Prime Factorization of 542 is 2 x 271

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, 497) = 86478

GCD(174, 497) = ( 174 x 497 ) / 86478

GCD(174, 497) = 86478 / 86478

GCD(174, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 174, 497, 29, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 594, 34, 528
• GCD of 997, 278, 95, 431
• GCD of 984, 733, 76, 616
• GCD of 690, 481, 18, 181
• GCD of 454, 642, 12, 134

1. What is the GCD of 174, 497, 29, 542?

GCD of 174, 497, 29, 542 is 1

2. Where do I get the detailed procedure to find GCD of 174, 497, 29, 542?

You can find a detailed procedure to find GCD of 174, 497, 29, 542 on our page.

3. How to find GCD of 174, 497, 29, 542 on a calculator?

You can find the GCD of 174, 497, 29, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.