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GCD of 696, 108, 846, 243 Calculator

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


Online GCD Calculator is useful to find the GCD of 696, 108, 846, 243 quickly. Get the easiest ways to solve the greatest common divisor of 696, 108, 846, 243 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 696, 108, 846, 243 with Factoring?

Given Input numbers are 696, 108, 846, 243

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (696, 108, 846, 243) = 3.

Find GCD of 696, 108, 846, 243 using Prime Factorization

Given numbers are 696, 108, 846, 243

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 696, 108, 846, 243 is 3.

Steps to Calculate GCD of 696, 108, 846, 243 using LCM Formula

Given numbers are 696, 108, 846, 243

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

Apply this formula for all numbers.

Step1:

LCM(696, 108) = 6264

GCD(696, 108) = ( 696 x 108 ) / 6264

= 696 / 108

= 696


Step2:

LCM(12, 846) = 1692

GCD(12, 846) = ( 12 x 846 ) / 1692

= 12 / 846

= 12


Step3:

LCM(6, 243) = 486

GCD(6, 243) = ( 6 x 243 ) / 486

= 6 / 243

= 6


So, Greatest Common Divisor of 696, 108, 846, 243 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 696, 108, 846, 243

Given numbers are 696, 108, 846, 243
The greatest common divisor of numbers 696, 108, 846, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 108, 846, 243 is 3.

FAQs on GCD of 696, 108, 846, 243 Calculator

1. What is the GCD of 696, 108, 846, 243?

GCD of given numbers 696, 108, 846, 243 is 3


2. How to calculate the greatest common divisor of 696, 108, 846, 243?

We can find the highest common divisor of 696, 108, 846, 243 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 696, 108, 846, 243 i.e 3.


3. How can I use the GCD of 696, 108, 846, 243Calculator?

Out the numbers 696, 108, 846, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.