GCD of 797, 901, 308, 421 Calculator

Given Input numbers are 797, 901, 308, 421

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

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 797, 901, 308, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 901, 308, 421 is 1.

Therefore, GCD of numbers 797, 901, 308, 421 is 1

Given Input Data is 797, 901, 308, 421

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

Prime Factorization of 797 is 797

Prime Factorization of 901 is 17 x 53

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 421 is 421

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(797, 901) = 718097

GCD(797, 901) = ( 797 x 901 ) / 718097

GCD(797, 901) = 718097 / 718097

GCD(797, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 797, 901, 308, 421 is 1

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1. What is the GCD of 797, 901, 308, 421?

GCD of 797, 901, 308, 421 is 1

2. Where do I get the detailed procedure to find GCD of 797, 901, 308, 421?

You can find a detailed procedure to find GCD of 797, 901, 308, 421 on our page.

3. How to find GCD of 797, 901, 308, 421 on a calculator?

You can find the GCD of 797, 901, 308, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.