GCD of 322, 490, 647, 825 Calculator

Given Input numbers are 322, 490, 647, 825

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 322, 490, 647, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 490, 647, 825 is 1.

Therefore, GCD of numbers 322, 490, 647, 825 is 1

Given Input Data is 322, 490, 647, 825

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 647 is 647

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(322, 490) = 11270

GCD(322, 490) = ( 322 x 490 ) / 11270

GCD(322, 490) = 157780 / 11270

GCD(322, 490) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 647

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

LCM(14, 647) = 9058

GCD(14, 647) = ( 14 x 647 ) / 9058

GCD(14, 647) = 9058 / 9058

GCD(14, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 322, 490, 647, 825 is 1

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1. What is the GCD of 322, 490, 647, 825?

GCD of 322, 490, 647, 825 is 1

2. Where do I get the detailed procedure to find GCD of 322, 490, 647, 825?

You can find a detailed procedure to find GCD of 322, 490, 647, 825 on our page.

3. How to find GCD of 322, 490, 647, 825 on a calculator?

You can find the GCD of 322, 490, 647, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.