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GCD of 296, 684, 834 Calculator

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


Online GCD Calculator is useful to find the GCD of 296, 684, 834 quickly. Get the easiest ways to solve the greatest common divisor of 296, 684, 834 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 296, 684, 834 with Factoring?

Given Input numbers are 296, 684, 834

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 834 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (296, 684, 834) = 2.

Find GCD of 296, 684, 834 using Prime Factorization

Given numbers are 296, 684, 834

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 21

Therefore, GCD of 296, 684, 834 is 2.

Steps to Calculate GCD of 296, 684, 834 using LCM Formula

Given numbers are 296, 684, 834

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

Apply this formula for all numbers.

Step1:

LCM(296, 684) = 50616

GCD(296, 684) = ( 296 x 684 ) / 50616

= 296 / 684

= 296


Step2:

LCM(4, 834) = 1668

GCD(4, 834) = ( 4 x 834 ) / 1668

= 4 / 834

= 4


So, Greatest Common Divisor of 296, 684, 834 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 296, 684, 834

Given numbers are 296, 684, 834
The greatest common divisor of numbers 296, 684, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 684, 834 is 2.

FAQs on GCD of 296, 684, 834 Calculator

1. What is the GCD of 296, 684, 834?

GCD of given numbers 296, 684, 834 is 2


2. How to calculate the greatest common divisor of 296, 684, 834?

We can find the highest common divisor of 296, 684, 834 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 296, 684, 834 i.e 2.


3. How can I use the GCD of 296, 684, 834Calculator?

Out the numbers 296, 684, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.