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GCD of 221, 226, 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 221, 226, 72 quickly. Get the easiest ways to solve the greatest common divisor of 221, 226, 72 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 221, 226, 72 with Factoring?

Given Input numbers are 221, 226, 72

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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 (221, 226, 72) = 1.

Find GCD of 221, 226, 72 using Prime Factorization

Given numbers are 221, 226, 72

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 226 are 2 x 113

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 221, 226, 72 using LCM Formula

Given numbers are 221, 226, 72

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

Apply this formula for all numbers.

Step1:

LCM(221, 226) = 49946

GCD(221, 226) = ( 221 x 226 ) / 49946

= 221 / 226

= 221


Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1


So, Greatest Common Divisor of 221, 226, 72 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 221, 226, 72

Given numbers are 221, 226, 72
The greatest common divisor of numbers 221, 226, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 226, 72 is 1.

FAQs on GCD of 221, 226, 72 Calculator

1. What is the GCD of 221, 226, 72?

GCD of given numbers 221, 226, 72 is 1


2. How to calculate the greatest common divisor of 221, 226, 72?

We can find the highest common divisor of 221, 226, 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 221, 226, 72 i.e 1.


3. How can I use the GCD of 221, 226, 72Calculator?

Out the numbers 221, 226, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.