GCD of 505, 959, 554, 383 Calculator

Given Input numbers are 505, 959, 554, 383

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 505, 959, 554, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 959, 554, 383 is 1.

Therefore, GCD of numbers 505, 959, 554, 383 is 1

Given Input Data is 505, 959, 554, 383

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 959 is 7 x 137

Prime Factorization of 554 is 2 x 277

Prime Factorization of 383 is 383

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, 959) = 484295

GCD(505, 959) = ( 505 x 959 ) / 484295

GCD(505, 959) = 484295 / 484295

GCD(505, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 505, 959, 554, 383 is 1

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1. What is the GCD of 505, 959, 554, 383?

GCD of 505, 959, 554, 383 is 1

2. Where do I get the detailed procedure to find GCD of 505, 959, 554, 383?

You can find a detailed procedure to find GCD of 505, 959, 554, 383 on our page.

3. How to find GCD of 505, 959, 554, 383 on a calculator?

You can find the GCD of 505, 959, 554, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.