GCD of 825, 463, 614, 639 Calculator

Given Input numbers are 825, 463, 614, 639

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 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 825, 463, 614, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 463, 614, 639 is 1.

Therefore, GCD of numbers 825, 463, 614, 639 is 1

Given Input Data is 825, 463, 614, 639

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 463 is 463

Prime Factorization of 614 is 2 x 307

Prime Factorization of 639 is 3 x 3 x 71

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, 463) = 381975

GCD(825, 463) = ( 825 x 463 ) / 381975

GCD(825, 463) = 381975 / 381975

GCD(825, 463) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 825, 463, 614, 639 is 1

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1. What is the GCD of 825, 463, 614, 639?

GCD of 825, 463, 614, 639 is 1

2. Where do I get the detailed procedure to find GCD of 825, 463, 614, 639?

You can find a detailed procedure to find GCD of 825, 463, 614, 639 on our page.

3. How to find GCD of 825, 463, 614, 639 on a calculator?

You can find the GCD of 825, 463, 614, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.