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GCD of 221, 689, 154, 443 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, 154, 443 quickly. Get the easiest ways to solve the greatest common divisor of 221, 689, 154, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 221, 689, 154, 443 with Factoring?

Given Input numbers are 221, 689, 154, 443

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 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (221, 689, 154, 443) = 1.

Find GCD of 221, 689, 154, 443 using Prime Factorization

Given numbers are 221, 689, 154, 443

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 154 are 2 x 7 x 11

Prime factors of 443 are 443

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

Steps to Calculate GCD of 221, 689, 154, 443 using LCM Formula

Given numbers are 221, 689, 154, 443

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, 154) = 2002

GCD(13, 154) = ( 13 x 154 ) / 2002

= 13 / 154

= 13


Step3:

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

= 1 / 443

= 1


So, Greatest Common Divisor of 221, 689, 154, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 221, 689, 154, 443

Given numbers are 221, 689, 154, 443
The greatest common divisor of numbers 221, 689, 154, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 689, 154, 443 is 1.

FAQs on GCD of 221, 689, 154, 443 Calculator

1. What is the GCD of 221, 689, 154, 443?

GCD of given numbers 221, 689, 154, 443 is 1


2. How to calculate the greatest common divisor of 221, 689, 154, 443?

We can find the highest common divisor of 221, 689, 154, 443 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, 154, 443 i.e 1.


3. How can I use the GCD of 221, 689, 154, 443Calculator?

Out the numbers 221, 689, 154, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.