GCD of 616, 794, 500, 889 Calculator

Given Input numbers are 616, 794, 500, 889

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 616, 794, 500, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 794, 500, 889 is 1.

Therefore, GCD of numbers 616, 794, 500, 889 is 1

Given Input Data is 616, 794, 500, 889

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 794 is 2 x 397

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 889 is 7 x 127

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(616, 794) = 244552

GCD(616, 794) = ( 616 x 794 ) / 244552

GCD(616, 794) = 489104 / 244552

GCD(616, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 616, 794, 500, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 596, 110, 838
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• GCD of 920, 811, 125, 421
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• GCD of 810, 896, 999, 169

1. What is the GCD of 616, 794, 500, 889?

GCD of 616, 794, 500, 889 is 1

2. Where do I get the detailed procedure to find GCD of 616, 794, 500, 889?

You can find a detailed procedure to find GCD of 616, 794, 500, 889 on our page.

3. How to find GCD of 616, 794, 500, 889 on a calculator?

You can find the GCD of 616, 794, 500, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.