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GCD of 221, 689, 388 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, 689, 388 quickly. Get the easiest ways to solve the greatest common divisor of 221, 689, 388 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 221, 689, 388 with Factoring?

Given Input numbers are 221, 689, 388

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388


GCD of numbers is the greatest common divisor

So, the GCD (221, 689, 388) = 1.

Find GCD of 221, 689, 388 using Prime Factorization

Given numbers are 221, 689, 388

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 689 are 13 x 53

Prime factors of 388 are 2 x 2 x 97

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

Steps to Calculate GCD of 221, 689, 388 using LCM Formula

Given numbers are 221, 689, 388

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

Apply this formula for all numbers.

Step1:

LCM(221, 689) = 11713

GCD(221, 689) = ( 221 x 689 ) / 11713

= 221 / 689

= 221


Step2:

LCM(13, 388) = 5044

GCD(13, 388) = ( 13 x 388 ) / 5044

= 13 / 388

= 13


So, Greatest Common Divisor of 221, 689, 388 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 221, 689, 388

Given numbers are 221, 689, 388
The greatest common divisor of numbers 221, 689, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 689, 388 is 1.

FAQs on GCD of 221, 689, 388 Calculator

1. What is the GCD of 221, 689, 388?

GCD of given numbers 221, 689, 388 is 1


2. How to calculate the greatest common divisor of 221, 689, 388?

We can find the highest common divisor of 221, 689, 388 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, 689, 388 i.e 1.


3. How can I use the GCD of 221, 689, 388Calculator?

Out the numbers 221, 689, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.