GCD of 824, 713, 505, 650 Calculator

Given Input numbers are 824, 713, 505, 650

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 824, 713, 505, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 713, 505, 650 is 1.

Therefore, GCD of numbers 824, 713, 505, 650 is 1

Given Input Data is 824, 713, 505, 650

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 713 is 23 x 31

Prime Factorization of 505 is 5 x 101

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(824, 713) = 587512

GCD(824, 713) = ( 824 x 713 ) / 587512

GCD(824, 713) = 587512 / 587512

GCD(824, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 824, 713, 505, 650 is 1

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1. What is the GCD of 824, 713, 505, 650?

GCD of 824, 713, 505, 650 is 1

2. Where do I get the detailed procedure to find GCD of 824, 713, 505, 650?

You can find a detailed procedure to find GCD of 824, 713, 505, 650 on our page.

3. How to find GCD of 824, 713, 505, 650 on a calculator?

You can find the GCD of 824, 713, 505, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.