GCD of 355, 825, 614 Calculator

Given Input numbers are 355, 825, 614

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 614

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

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 355, 825, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 825, 614 is 1.

Therefore, GCD of numbers 355, 825, 614 is 1

Given Input Data is 355, 825, 614

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

Prime Factorization of 355 is 5 x 71

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

Prime Factorization of 614 is 2 x 307

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(355, 825) = 58575

GCD(355, 825) = ( 355 x 825 ) / 58575

GCD(355, 825) = 292875 / 58575

GCD(355, 825) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 614

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

LCM(5, 614) = 3070

GCD(5, 614) = ( 5 x 614 ) / 3070

GCD(5, 614) = 3070 / 3070

GCD(5, 614) = 1

GCD of 355, 825, 614 is 1

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1. What is the GCD of 355, 825, 614?

GCD of 355, 825, 614 is 1

2. Where do I get the detailed procedure to find GCD of 355, 825, 614?

You can find a detailed procedure to find GCD of 355, 825, 614 on our page.

3. How to find GCD of 355, 825, 614 on a calculator?

You can find the GCD of 355, 825, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.