GCD of 476, 820, 604, 697 Calculator

Given Input numbers are 476, 820, 604, 697

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 476, 820, 604, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 820, 604, 697 is 1.

Therefore, GCD of numbers 476, 820, 604, 697 is 1

Given Input Data is 476, 820, 604, 697

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 697 is 17 x 41

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(476, 820) = 97580

GCD(476, 820) = ( 476 x 820 ) / 97580

GCD(476, 820) = 390320 / 97580

GCD(476, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 604

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

LCM(4, 604) = 604

GCD(4, 604) = ( 4 x 604 ) / 604

GCD(4, 604) = 2416 / 604

GCD(4, 604) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 697

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

LCM(4, 697) = 2788

GCD(4, 697) = ( 4 x 697 ) / 2788

GCD(4, 697) = 2788 / 2788

GCD(4, 697) = 1

GCD of 476, 820, 604, 697 is 1

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1. What is the GCD of 476, 820, 604, 697?

GCD of 476, 820, 604, 697 is 1

2. Where do I get the detailed procedure to find GCD of 476, 820, 604, 697?

You can find a detailed procedure to find GCD of 476, 820, 604, 697 on our page.

3. How to find GCD of 476, 820, 604, 697 on a calculator?

You can find the GCD of 476, 820, 604, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.