GCD of 507, 514, 84, 174 Calculator

Given Input numbers are 507, 514, 84, 174

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 507, 514, 84, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 514, 84, 174 is 1.

Therefore, GCD of numbers 507, 514, 84, 174 is 1

Given Input Data is 507, 514, 84, 174

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 514 is 2 x 257

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(507, 514) = 260598

GCD(507, 514) = ( 507 x 514 ) / 260598

GCD(507, 514) = 260598 / 260598

GCD(507, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 507, 514, 84, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 713, 75, 961
• GCD of 228, 375, 49, 853
• GCD of 547, 384, 52, 569
• GCD of 175, 439, 55, 646
• GCD of 680, 371, 54, 266

1. What is the GCD of 507, 514, 84, 174?

GCD of 507, 514, 84, 174 is 1

2. Where do I get the detailed procedure to find GCD of 507, 514, 84, 174?

You can find a detailed procedure to find GCD of 507, 514, 84, 174 on our page.

3. How to find GCD of 507, 514, 84, 174 on a calculator?

You can find the GCD of 507, 514, 84, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.