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GCD of 832, 612, 296, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 832, 612, 296, 682 quickly. Get the easiest ways to solve the greatest common divisor of 832, 612, 296, 682 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 832, 612, 296, 682 with Factoring?

Given Input numbers are 832, 612, 296, 682

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 296 :

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

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (832, 612, 296, 682) = 2.

Find GCD of 832, 612, 296, 682 using Prime Factorization

Given numbers are 832, 612, 296, 682

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 21

Therefore, GCD of 832, 612, 296, 682 is 2.

Steps to Calculate GCD of 832, 612, 296, 682 using LCM Formula

Given numbers are 832, 612, 296, 682

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

Apply this formula for all numbers.

Step1:

LCM(832, 612) = 127296

GCD(832, 612) = ( 832 x 612 ) / 127296

= 832 / 612

= 832


Step2:

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

= 4 / 296

= 4


Step3:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4


So, Greatest Common Divisor of 832, 612, 296, 682 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 832, 612, 296, 682

Given numbers are 832, 612, 296, 682
The greatest common divisor of numbers 832, 612, 296, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 612, 296, 682 is 2.

FAQs on GCD of 832, 612, 296, 682 Calculator

1. What is the GCD of 832, 612, 296, 682?

GCD of given numbers 832, 612, 296, 682 is 2


2. How to calculate the greatest common divisor of 832, 612, 296, 682?

We can find the highest common divisor of 832, 612, 296, 682 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 832, 612, 296, 682 i.e 2.


3. How can I use the GCD of 832, 612, 296, 682Calculator?

Out the numbers 832, 612, 296, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.