GCD of 505, 203, 377, 889 Calculator

Given Input numbers are 505, 203, 377, 889

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 505, 203, 377, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 203, 377, 889 is 1.

Therefore, GCD of numbers 505, 203, 377, 889 is 1

Given Input Data is 505, 203, 377, 889

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 203 is 7 x 29

Prime Factorization of 377 is 13 x 29

Prime Factorization of 889 is 7 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, 203) = 102515

GCD(505, 203) = ( 505 x 203 ) / 102515

GCD(505, 203) = 102515 / 102515

GCD(505, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 505, 203, 377, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 258, 315, 306
• GCD of 397, 791, 667, 708
• GCD of 547, 747, 695, 531
• GCD of 896, 611, 248, 281
• GCD of 554, 474, 106, 960

1. What is the GCD of 505, 203, 377, 889?

GCD of 505, 203, 377, 889 is 1

2. Where do I get the detailed procedure to find GCD of 505, 203, 377, 889?

You can find a detailed procedure to find GCD of 505, 203, 377, 889 on our page.

3. How to find GCD of 505, 203, 377, 889 on a calculator?

You can find the GCD of 505, 203, 377, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.