GCD of 505, 710, 20, 254 Calculator

Given Input numbers are 505, 710, 20, 254

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 505, 710, 20, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 710, 20, 254 is 1.

Therefore, GCD of numbers 505, 710, 20, 254 is 1

Given Input Data is 505, 710, 20, 254

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 254 is 2 x 127

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(505, 710) = 71710

GCD(505, 710) = ( 505 x 710 ) / 71710

GCD(505, 710) = 358550 / 71710

GCD(505, 710) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 254

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

LCM(5, 254) = 1270

GCD(5, 254) = ( 5 x 254 ) / 1270

GCD(5, 254) = 1270 / 1270

GCD(5, 254) = 1

GCD of 505, 710, 20, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 764, 37, 855
• GCD of 102, 109, 72, 475
• GCD of 126, 526, 50, 542
• GCD of 342, 706, 33, 754
• GCD of 716, 746, 78, 586

1. What is the GCD of 505, 710, 20, 254?

GCD of 505, 710, 20, 254 is 1

2. Where do I get the detailed procedure to find GCD of 505, 710, 20, 254?

You can find a detailed procedure to find GCD of 505, 710, 20, 254 on our page.

3. How to find GCD of 505, 710, 20, 254 on a calculator?

You can find the GCD of 505, 710, 20, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.