GCD of 825, 446, 354 Calculator

Given Input numbers are 825, 446, 354

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 825, 446, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 446, 354 is 1.

Therefore, GCD of numbers 825, 446, 354 is 1

Given Input Data is 825, 446, 354

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 446 is 2 x 223

Prime Factorization of 354 is 2 x 3 x 59

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, 446) = 367950

GCD(825, 446) = ( 825 x 446 ) / 367950

GCD(825, 446) = 367950 / 367950

GCD(825, 446) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 825, 446, 354 is 1

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1. What is the GCD of 825, 446, 354?

GCD of 825, 446, 354 is 1

2. Where do I get the detailed procedure to find GCD of 825, 446, 354?

You can find a detailed procedure to find GCD of 825, 446, 354 on our page.

3. How to find GCD of 825, 446, 354 on a calculator?

You can find the GCD of 825, 446, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.