GCD of 421, 434, 991, 908 Calculator

Given Input numbers are 421, 434, 991, 908

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

Divisors of 421

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

1, 421

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 421, 434, 991, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 434, 991, 908 is 1.

Therefore, GCD of numbers 421, 434, 991, 908 is 1

Given Input Data is 421, 434, 991, 908

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

Prime Factorization of 421 is 421

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 991 is 991

Prime Factorization of 908 is 2 x 2 x 227

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(421, 434) = 182714

GCD(421, 434) = ( 421 x 434 ) / 182714

GCD(421, 434) = 182714 / 182714

GCD(421, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 421, 434, 991, 908 is 1

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1. What is the GCD of 421, 434, 991, 908?

GCD of 421, 434, 991, 908 is 1

2. Where do I get the detailed procedure to find GCD of 421, 434, 991, 908?

You can find a detailed procedure to find GCD of 421, 434, 991, 908 on our page.

3. How to find GCD of 421, 434, 991, 908 on a calculator?

You can find the GCD of 421, 434, 991, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.