GCD of 708, 774, 41, 597 Calculator

Given Input numbers are 708, 774, 41, 597

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 708, 774, 41, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 774, 41, 597 is 1.

Therefore, GCD of numbers 708, 774, 41, 597 is 1

Given Input Data is 708, 774, 41, 597

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 41 is 41

Prime Factorization of 597 is 3 x 199

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(708, 774) = 91332

GCD(708, 774) = ( 708 x 774 ) / 91332

GCD(708, 774) = 547992 / 91332

GCD(708, 774) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 41

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

LCM(6, 41) = 246

GCD(6, 41) = ( 6 x 41 ) / 246

GCD(6, 41) = 246 / 246

GCD(6, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 708, 774, 41, 597 is 1

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1. What is the GCD of 708, 774, 41, 597?

GCD of 708, 774, 41, 597 is 1

2. Where do I get the detailed procedure to find GCD of 708, 774, 41, 597?

You can find a detailed procedure to find GCD of 708, 774, 41, 597 on our page.

3. How to find GCD of 708, 774, 41, 597 on a calculator?

You can find the GCD of 708, 774, 41, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.