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GCD of 116, 844, 689, 916 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 116, 844, 689, 916 quickly. Get the easiest ways to solve the greatest common divisor of 116, 844, 689, 916 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 116, 844, 689, 916 with Factoring?

Given Input numbers are 116, 844, 689, 916

In the factoring method, we have to find the divisors of all numbers

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (116, 844, 689, 916) = 1.

Find GCD of 116, 844, 689, 916 using Prime Factorization

Given numbers are 116, 844, 689, 916

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 844 are 2 x 2 x 211

Prime factors of 689 are 13 x 53

Prime factors of 916 are 2 x 2 x 229

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

Steps to Calculate GCD of 116, 844, 689, 916 using LCM Formula

Given numbers are 116, 844, 689, 916

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(116, 844) = 24476

GCD(116, 844) = ( 116 x 844 ) / 24476

= 116 / 844

= 116


Step2:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4


Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


So, Greatest Common Divisor of 116, 844, 689, 916 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 116, 844, 689, 916

Given numbers are 116, 844, 689, 916
The greatest common divisor of numbers 116, 844, 689, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 844, 689, 916 is 1.

FAQs on GCD of 116, 844, 689, 916 Calculator

1. What is the GCD of 116, 844, 689, 916?

GCD of given numbers 116, 844, 689, 916 is 1


2. How to calculate the greatest common divisor of 116, 844, 689, 916?

We can find the highest common divisor of 116, 844, 689, 916 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 116, 844, 689, 916 i.e 1.


3. How can I use the GCD of 116, 844, 689, 916Calculator?

Out the numbers 116, 844, 689, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.