GCD of 825, 214, 325, 713 Calculator

Given Input numbers are 825, 214, 325, 713

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 713

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

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 825, 214, 325, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 214, 325, 713 is 1.

Therefore, GCD of numbers 825, 214, 325, 713 is 1

Given Input Data is 825, 214, 325, 713

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

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 713 is 23 x 31

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(825, 214) = 176550

GCD(825, 214) = ( 825 x 214 ) / 176550

GCD(825, 214) = 176550 / 176550

GCD(825, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 825, 214, 325, 713 is 1

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1. What is the GCD of 825, 214, 325, 713?

GCD of 825, 214, 325, 713 is 1

2. Where do I get the detailed procedure to find GCD of 825, 214, 325, 713?

You can find a detailed procedure to find GCD of 825, 214, 325, 713 on our page.

3. How to find GCD of 825, 214, 325, 713 on a calculator?

You can find the GCD of 825, 214, 325, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.