GCD of 605, 682, 354 Calculator

Given Input numbers are 605, 682, 354

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 605, 682, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 682, 354 is 1.

Therefore, GCD of numbers 605, 682, 354 is 1

Given Input Data is 605, 682, 354

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 682 is 2 x 11 x 31

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(605, 682) = 37510

GCD(605, 682) = ( 605 x 682 ) / 37510

GCD(605, 682) = 412610 / 37510

GCD(605, 682) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 354

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

LCM(11, 354) = 3894

GCD(11, 354) = ( 11 x 354 ) / 3894

GCD(11, 354) = 3894 / 3894

GCD(11, 354) = 1

GCD of 605, 682, 354 is 1

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1. What is the GCD of 605, 682, 354?

GCD of 605, 682, 354 is 1

2. Where do I get the detailed procedure to find GCD of 605, 682, 354?

You can find a detailed procedure to find GCD of 605, 682, 354 on our page.

3. How to find GCD of 605, 682, 354 on a calculator?

You can find the GCD of 605, 682, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.