GCD of 689, 753, 501, 809 Calculator

Given Input numbers are 689, 753, 501, 809

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 689, 753, 501, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 753, 501, 809 is 1.

Therefore, GCD of numbers 689, 753, 501, 809 is 1

Given Input Data is 689, 753, 501, 809

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 753 is 3 x 251

Prime Factorization of 501 is 3 x 167

Prime Factorization of 809 is 809

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(689, 753) = 518817

GCD(689, 753) = ( 689 x 753 ) / 518817

GCD(689, 753) = 518817 / 518817

GCD(689, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 689, 753, 501, 809 is 1

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1. What is the GCD of 689, 753, 501, 809?

GCD of 689, 753, 501, 809 is 1

2. Where do I get the detailed procedure to find GCD of 689, 753, 501, 809?

You can find a detailed procedure to find GCD of 689, 753, 501, 809 on our page.

3. How to find GCD of 689, 753, 501, 809 on a calculator?

You can find the GCD of 689, 753, 501, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.