GCD of 421, 565, 983, 906 Calculator

Given Input numbers are 421, 565, 983, 906

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 421, 565, 983, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 565, 983, 906 is 1.

Therefore, GCD of numbers 421, 565, 983, 906 is 1

Given Input Data is 421, 565, 983, 906

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

Prime Factorization of 421 is 421

Prime Factorization of 565 is 5 x 113

Prime Factorization of 983 is 983

Prime Factorization of 906 is 2 x 3 x 151

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, 565) = 237865

GCD(421, 565) = ( 421 x 565 ) / 237865

GCD(421, 565) = 237865 / 237865

GCD(421, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 421, 565, 983, 906 is 1

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1. What is the GCD of 421, 565, 983, 906?

GCD of 421, 565, 983, 906 is 1

2. Where do I get the detailed procedure to find GCD of 421, 565, 983, 906?

You can find a detailed procedure to find GCD of 421, 565, 983, 906 on our page.

3. How to find GCD of 421, 565, 983, 906 on a calculator?

You can find the GCD of 421, 565, 983, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.