GCD of 500, 555, 635, 253 Calculator

Given Input numbers are 500, 555, 635, 253

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 500, 555, 635, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 555, 635, 253 is 1.

Therefore, GCD of numbers 500, 555, 635, 253 is 1

Given Input Data is 500, 555, 635, 253

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 635 is 5 x 127

Prime Factorization of 253 is 11 x 23

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(500, 555) = 55500

GCD(500, 555) = ( 500 x 555 ) / 55500

GCD(500, 555) = 277500 / 55500

GCD(500, 555) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 635

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

LCM(5, 635) = 635

GCD(5, 635) = ( 5 x 635 ) / 635

GCD(5, 635) = 3175 / 635

GCD(5, 635) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 253

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

LCM(5, 253) = 1265

GCD(5, 253) = ( 5 x 253 ) / 1265

GCD(5, 253) = 1265 / 1265

GCD(5, 253) = 1

GCD of 500, 555, 635, 253 is 1

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1. What is the GCD of 500, 555, 635, 253?

GCD of 500, 555, 635, 253 is 1

2. Where do I get the detailed procedure to find GCD of 500, 555, 635, 253?

You can find a detailed procedure to find GCD of 500, 555, 635, 253 on our page.

3. How to find GCD of 500, 555, 635, 253 on a calculator?

You can find the GCD of 500, 555, 635, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.