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GCD of 216, 346, 860, 696 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 346, 860, 696 quickly. Get the easiest ways to solve the greatest common divisor of 216, 346, 860, 696 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 346, 860, 696 with Factoring?

Given Input numbers are 216, 346, 860, 696

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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


GCD of numbers is the greatest common divisor

So, the GCD (216, 346, 860, 696) = 2.

Find GCD of 216, 346, 860, 696 using Prime Factorization

Given numbers are 216, 346, 860, 696

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 346 are 2 x 173

Prime factors of 860 are 2 x 2 x 5 x 43

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

The highest common occurrence is 21

Therefore, GCD of 216, 346, 860, 696 is 2.

Steps to Calculate GCD of 216, 346, 860, 696 using LCM Formula

Given numbers are 216, 346, 860, 696

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

Apply this formula for all numbers.

Step1:

LCM(216, 346) = 37368

GCD(216, 346) = ( 216 x 346 ) / 37368

= 216 / 346

= 216


Step2:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2


Step3:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2


So, Greatest Common Divisor of 216, 346, 860, 696 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 346, 860, 696

Given numbers are 216, 346, 860, 696
The greatest common divisor of numbers 216, 346, 860, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 346, 860, 696 is 2.

FAQs on GCD of 216, 346, 860, 696 Calculator

1. What is the GCD of 216, 346, 860, 696?

GCD of given numbers 216, 346, 860, 696 is 2


2. How to calculate the greatest common divisor of 216, 346, 860, 696?

We can find the highest common divisor of 216, 346, 860, 696 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 216, 346, 860, 696 i.e 2.


3. How can I use the GCD of 216, 346, 860, 696Calculator?

Out the numbers 216, 346, 860, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.