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GCD of 834, 390, 798, 981 Calculator

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


Online GCD Calculator is useful to find the GCD of 834, 390, 798, 981 quickly. Get the easiest ways to solve the greatest common divisor of 834, 390, 798, 981 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 390, 798, 981 with Factoring?

Given Input numbers are 834, 390, 798, 981

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981


GCD of numbers is the greatest common divisor

So, the GCD (834, 390, 798, 981) = 3.

Find GCD of 834, 390, 798, 981 using Prime Factorization

Given numbers are 834, 390, 798, 981

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 31

Therefore, GCD of 834, 390, 798, 981 is 3.

Steps to Calculate GCD of 834, 390, 798, 981 using LCM Formula

Given numbers are 834, 390, 798, 981

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

Apply this formula for all numbers.

Step1:

LCM(834, 390) = 54210

GCD(834, 390) = ( 834 x 390 ) / 54210

= 834 / 390

= 834


Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6


Step3:

LCM(6, 981) = 1962

GCD(6, 981) = ( 6 x 981 ) / 1962

= 6 / 981

= 6


So, Greatest Common Divisor of 834, 390, 798, 981 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 390, 798, 981

Given numbers are 834, 390, 798, 981
The greatest common divisor of numbers 834, 390, 798, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 390, 798, 981 is 3.

FAQs on GCD of 834, 390, 798, 981 Calculator

1. What is the GCD of 834, 390, 798, 981?

GCD of given numbers 834, 390, 798, 981 is 3


2. How to calculate the greatest common divisor of 834, 390, 798, 981?

We can find the highest common divisor of 834, 390, 798, 981 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 834, 390, 798, 981 i.e 3.


3. How can I use the GCD of 834, 390, 798, 981Calculator?

Out the numbers 834, 390, 798, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.