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GCD of 343, 491, 221, 241 Calculator

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


Online GCD Calculator is useful to find the GCD of 343, 491, 221, 241 quickly. Get the easiest ways to solve the greatest common divisor of 343, 491, 221, 241 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 491, 221, 241 with Factoring?

Given Input numbers are 343, 491, 221, 241

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241


GCD of numbers is the greatest common divisor

So, the GCD (343, 491, 221, 241) = 1.

Find GCD of 343, 491, 221, 241 using Prime Factorization

Given numbers are 343, 491, 221, 241

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 491 are 491

Prime factors of 221 are 13 x 17

Prime factors of 241 are 241

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

Steps to Calculate GCD of 343, 491, 221, 241 using LCM Formula

Given numbers are 343, 491, 221, 241

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

Apply this formula for all numbers.

Step1:

LCM(343, 491) = 168413

GCD(343, 491) = ( 343 x 491 ) / 168413

= 343 / 491

= 343


Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1


Step3:

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

= 1 / 241

= 1


So, Greatest Common Divisor of 343, 491, 221, 241 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 491, 221, 241

Given numbers are 343, 491, 221, 241
The greatest common divisor of numbers 343, 491, 221, 241 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 491, 221, 241 is 1.

FAQs on GCD of 343, 491, 221, 241 Calculator

1. What is the GCD of 343, 491, 221, 241?

GCD of given numbers 343, 491, 221, 241 is 1


2. How to calculate the greatest common divisor of 343, 491, 221, 241?

We can find the highest common divisor of 343, 491, 221, 241 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 343, 491, 221, 241 i.e 1.


3. How can I use the GCD of 343, 491, 221, 241Calculator?

Out the numbers 343, 491, 221, 241 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.