GCD of 989, 457, 823, 816 Calculator

Given Input numbers are 989, 457, 823, 816

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 457

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

1, 457

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 989, 457, 823, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 457, 823, 816 is 1.

Therefore, GCD of numbers 989, 457, 823, 816 is 1

Given Input Data is 989, 457, 823, 816

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 457 is 457

Prime Factorization of 823 is 823

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(989, 457) = 451973

GCD(989, 457) = ( 989 x 457 ) / 451973

GCD(989, 457) = 451973 / 451973

GCD(989, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 989, 457, 823, 816 is 1

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1. What is the GCD of 989, 457, 823, 816?

GCD of 989, 457, 823, 816 is 1

2. Where do I get the detailed procedure to find GCD of 989, 457, 823, 816?

You can find a detailed procedure to find GCD of 989, 457, 823, 816 on our page.

3. How to find GCD of 989, 457, 823, 816 on a calculator?

You can find the GCD of 989, 457, 823, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.