GCD of 505, 949, 820, 627 Calculator

Given Input numbers are 505, 949, 820, 627

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 505, 949, 820, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 949, 820, 627 is 1.

Therefore, GCD of numbers 505, 949, 820, 627 is 1

Given Input Data is 505, 949, 820, 627

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 949 is 13 x 73

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 627 is 3 x 11 x 19

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, 949) = 479245

GCD(505, 949) = ( 505 x 949 ) / 479245

GCD(505, 949) = 479245 / 479245

GCD(505, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 505, 949, 820, 627 is 1

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1. What is the GCD of 505, 949, 820, 627?

GCD of 505, 949, 820, 627 is 1

2. Where do I get the detailed procedure to find GCD of 505, 949, 820, 627?

You can find a detailed procedure to find GCD of 505, 949, 820, 627 on our page.

3. How to find GCD of 505, 949, 820, 627 on a calculator?

You can find the GCD of 505, 949, 820, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.