GCD of 505, 508, 524, 605 Calculator

Given Input numbers are 505, 508, 524, 605

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 505, 508, 524, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 508, 524, 605 is 1.

Therefore, GCD of numbers 505, 508, 524, 605 is 1

Given Input Data is 505, 508, 524, 605

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 605 is 5 x 11 x 11

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, 508) = 256540

GCD(505, 508) = ( 505 x 508 ) / 256540

GCD(505, 508) = 256540 / 256540

GCD(505, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 505, 508, 524, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 371, 417, 527
• GCD of 318, 685, 224, 107
• GCD of 946, 619, 872, 430
• GCD of 182, 125, 930, 589
• GCD of 518, 699, 303, 138

1. What is the GCD of 505, 508, 524, 605?

GCD of 505, 508, 524, 605 is 1

2. Where do I get the detailed procedure to find GCD of 505, 508, 524, 605?

You can find a detailed procedure to find GCD of 505, 508, 524, 605 on our page.

3. How to find GCD of 505, 508, 524, 605 on a calculator?

You can find the GCD of 505, 508, 524, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.