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GCD of 916, 944, 837, 289 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 944, 837, 289 quickly. Get the easiest ways to solve the greatest common divisor of 916, 944, 837, 289 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 944, 837, 289 with Factoring?

Given Input numbers are 916, 944, 837, 289

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289


GCD of numbers is the greatest common divisor

So, the GCD (916, 944, 837, 289) = 1.

Find GCD of 916, 944, 837, 289 using Prime Factorization

Given numbers are 916, 944, 837, 289

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 289 are 17 x 17

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

Steps to Calculate GCD of 916, 944, 837, 289 using LCM Formula

Given numbers are 916, 944, 837, 289

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

Apply this formula for all numbers.

Step1:

LCM(916, 944) = 216176

GCD(916, 944) = ( 916 x 944 ) / 216176

= 916 / 944

= 916


Step2:

LCM(4, 837) = 3348

GCD(4, 837) = ( 4 x 837 ) / 3348

= 4 / 837

= 4


Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1


So, Greatest Common Divisor of 916, 944, 837, 289 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 944, 837, 289

Given numbers are 916, 944, 837, 289
The greatest common divisor of numbers 916, 944, 837, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 944, 837, 289 is 1.

FAQs on GCD of 916, 944, 837, 289 Calculator

1. What is the GCD of 916, 944, 837, 289?

GCD of given numbers 916, 944, 837, 289 is 1


2. How to calculate the greatest common divisor of 916, 944, 837, 289?

We can find the highest common divisor of 916, 944, 837, 289 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 916, 944, 837, 289 i.e 1.


3. How can I use the GCD of 916, 944, 837, 289Calculator?

Out the numbers 916, 944, 837, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.