GCD of 502, 185, 742, 181 Calculator

Given Input numbers are 502, 185, 742, 181

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 185

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

1, 5, 37, 185

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 502, 185, 742, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 185, 742, 181 is 1.

Therefore, GCD of numbers 502, 185, 742, 181 is 1

Given Input Data is 502, 185, 742, 181

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 185 is 5 x 37

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 181 is 181

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(502, 185) = 92870

GCD(502, 185) = ( 502 x 185 ) / 92870

GCD(502, 185) = 92870 / 92870

GCD(502, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 502, 185, 742, 181 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 730, 273, 768
• GCD of 485, 808, 114, 555
• GCD of 534, 153, 244, 942
• GCD of 249, 812, 787, 189
• GCD of 578, 334, 259, 181

1. What is the GCD of 502, 185, 742, 181?

GCD of 502, 185, 742, 181 is 1

2. Where do I get the detailed procedure to find GCD of 502, 185, 742, 181?

You can find a detailed procedure to find GCD of 502, 185, 742, 181 on our page.

3. How to find GCD of 502, 185, 742, 181 on a calculator?

You can find the GCD of 502, 185, 742, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.