GCD of 97, 404, 428, 848 Calculator

Given Input numbers are 97, 404, 428, 848

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 97, 404, 428, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 404, 428, 848 is 1.

Therefore, GCD of numbers 97, 404, 428, 848 is 1

Given Input Data is 97, 404, 428, 848

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

Prime Factorization of 97 is 97

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(97, 404) = 39188

GCD(97, 404) = ( 97 x 404 ) / 39188

GCD(97, 404) = 39188 / 39188

GCD(97, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 97, 404, 428, 848 is 1

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1. What is the GCD of 97, 404, 428, 848?

GCD of 97, 404, 428, 848 is 1

2. Where do I get the detailed procedure to find GCD of 97, 404, 428, 848?

You can find a detailed procedure to find GCD of 97, 404, 428, 848 on our page.

3. How to find GCD of 97, 404, 428, 848 on a calculator?

You can find the GCD of 97, 404, 428, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.