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GCD of 818, 196, 72 Calculator

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


Online GCD Calculator is useful to find the GCD of 818, 196, 72 quickly. Get the easiest ways to solve the greatest common divisor of 818, 196, 72 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 818, 196, 72 with Factoring?

Given Input numbers are 818, 196, 72

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

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72


GCD of numbers is the greatest common divisor

So, the GCD (818, 196, 72) = 2.

Find GCD of 818, 196, 72 using Prime Factorization

Given numbers are 818, 196, 72

The list of prime factors of all numbers are

Prime factors of 818 are 2 x 409

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 818, 196, 72 is 2.

Steps to Calculate GCD of 818, 196, 72 using LCM Formula

Given numbers are 818, 196, 72

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

Apply this formula for all numbers.

Step1:

LCM(818, 196) = 80164

GCD(818, 196) = ( 818 x 196 ) / 80164

= 818 / 196

= 818


Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2


So, Greatest Common Divisor of 818, 196, 72 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 818, 196, 72

Given numbers are 818, 196, 72
The greatest common divisor of numbers 818, 196, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 818, 196, 72 is 2.

FAQs on GCD of 818, 196, 72 Calculator

1. What is the GCD of 818, 196, 72?

GCD of given numbers 818, 196, 72 is 2


2. How to calculate the greatest common divisor of 818, 196, 72?

We can find the highest common divisor of 818, 196, 72 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 818, 196, 72 i.e 2.


3. How can I use the GCD of 818, 196, 72Calculator?

Out the numbers 818, 196, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.