GCD of 809, 457, 608, 971 Calculator

Given Input numbers are 809, 457, 608, 971

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 809, 457, 608, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 457, 608, 971 is 1.

Therefore, GCD of numbers 809, 457, 608, 971 is 1

Given Input Data is 809, 457, 608, 971

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

Prime Factorization of 809 is 809

Prime Factorization of 457 is 457

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 971 is 971

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(809, 457) = 369713

GCD(809, 457) = ( 809 x 457 ) / 369713

GCD(809, 457) = 369713 / 369713

GCD(809, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 809, 457, 608, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 669, 340, 657
• GCD of 328, 461, 800, 117
• GCD of 506, 937, 984, 127
• GCD of 182, 174, 879, 401
• GCD of 300, 512, 929, 598

1. What is the GCD of 809, 457, 608, 971?

GCD of 809, 457, 608, 971 is 1

2. Where do I get the detailed procedure to find GCD of 809, 457, 608, 971?

You can find a detailed procedure to find GCD of 809, 457, 608, 971 on our page.

3. How to find GCD of 809, 457, 608, 971 on a calculator?

You can find the GCD of 809, 457, 608, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.