GCD of 507, 185, 755, 514 Calculator

Given Input numbers are 507, 185, 755, 514

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 514

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

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 507, 185, 755, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 185, 755, 514 is 1.

Therefore, GCD of numbers 507, 185, 755, 514 is 1

Given Input Data is 507, 185, 755, 514

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 185 is 5 x 37

Prime Factorization of 755 is 5 x 151

Prime Factorization of 514 is 2 x 257

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, 185) = 93795

GCD(507, 185) = ( 507 x 185 ) / 93795

GCD(507, 185) = 93795 / 93795

GCD(507, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 507, 185, 755, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 907, 473, 894
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• GCD of 228, 957, 300, 954
• GCD of 178, 421, 477, 956

1. What is the GCD of 507, 185, 755, 514?

GCD of 507, 185, 755, 514 is 1

2. Where do I get the detailed procedure to find GCD of 507, 185, 755, 514?

You can find a detailed procedure to find GCD of 507, 185, 755, 514 on our page.

3. How to find GCD of 507, 185, 755, 514 on a calculator?

You can find the GCD of 507, 185, 755, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.