GCD of 616, 916, 85, 836 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 616, 916, 85, 836 i.e. 1 largest integer that divides all the numbers equally.

GCD of 616, 916, 85, 836 is 1

GCD(616, 916, 85, 836) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 616, 916, 85, 836 is 1

GCD(616, 916, 85, 836) = 1

GCD of 616,916,85,836 Calculator

GCDof 616,916,85,836 is 1

Given Input numbers are 616, 916, 85, 836

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 616, 916, 85, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 916, 85, 836 is 1.

Therefore, GCD of numbers 616, 916, 85, 836 is 1

Finding GCD of 616, 916, 85, 836 using Prime Factorization

Given Input Data is 616, 916, 85, 836

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 916 is 2 x 2 x 229

Prime Factorization of 85 is 5 x 17

Prime Factorization of 836 is 2 x 2 x 11 x 19

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 616, 916, 85, 836 using LCM Formula

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, 916) = 141064

GCD(616, 916) = ( 616 x 916 ) / 141064

GCD(616, 916) = 564256 / 141064

GCD(616, 916) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 616, 916, 85, 836 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 616, 916, 85, 836

1. What is the GCD of 616, 916, 85, 836?

GCD of 616, 916, 85, 836 is 1


2. Where do I get the detailed procedure to find GCD of 616, 916, 85, 836?

You can find a detailed procedure to find GCD of 616, 916, 85, 836 on our page.


3. How to find GCD of 616, 916, 85, 836 on a calculator?

You can find the GCD of 616, 916, 85, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.