GCD of 505, 629, 606, 981 Calculator

Given Input numbers are 505, 629, 606, 981

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 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 505, 629, 606, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 629, 606, 981 is 1.

Therefore, GCD of numbers 505, 629, 606, 981 is 1

Given Input Data is 505, 629, 606, 981

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 629 is 17 x 37

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 981 is 3 x 3 x 109

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, 629) = 317645

GCD(505, 629) = ( 505 x 629 ) / 317645

GCD(505, 629) = 317645 / 317645

GCD(505, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 505, 629, 606, 981 is 1

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1. What is the GCD of 505, 629, 606, 981?

GCD of 505, 629, 606, 981 is 1

2. Where do I get the detailed procedure to find GCD of 505, 629, 606, 981?

You can find a detailed procedure to find GCD of 505, 629, 606, 981 on our page.

3. How to find GCD of 505, 629, 606, 981 on a calculator?

You can find the GCD of 505, 629, 606, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.