GCD of 413, 397, 78, 921 Calculator

Given Input numbers are 413, 397, 78, 921

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 413, 397, 78, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 397, 78, 921 is 1.

Therefore, GCD of numbers 413, 397, 78, 921 is 1

Given Input Data is 413, 397, 78, 921

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 397 is 397

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 921 is 3 x 307

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(413, 397) = 163961

GCD(413, 397) = ( 413 x 397 ) / 163961

GCD(413, 397) = 163961 / 163961

GCD(413, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 413, 397, 78, 921 is 1

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1. What is the GCD of 413, 397, 78, 921?

GCD of 413, 397, 78, 921 is 1

2. Where do I get the detailed procedure to find GCD of 413, 397, 78, 921?

You can find a detailed procedure to find GCD of 413, 397, 78, 921 on our page.

3. How to find GCD of 413, 397, 78, 921 on a calculator?

You can find the GCD of 413, 397, 78, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.