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GCD of 323, 272, 257, 682 Calculator

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


Online GCD Calculator is useful to find the GCD of 323, 272, 257, 682 quickly. Get the easiest ways to solve the greatest common divisor of 323, 272, 257, 682 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 323, 272, 257, 682 with Factoring?

Given Input numbers are 323, 272, 257, 682

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682


GCD of numbers is the greatest common divisor

So, the GCD (323, 272, 257, 682) = 1.

Find GCD of 323, 272, 257, 682 using Prime Factorization

Given numbers are 323, 272, 257, 682

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 257 are 257

Prime factors of 682 are 2 x 11 x 31

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

Steps to Calculate GCD of 323, 272, 257, 682 using LCM Formula

Given numbers are 323, 272, 257, 682

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

Apply this formula for all numbers.

Step1:

LCM(323, 272) = 5168

GCD(323, 272) = ( 323 x 272 ) / 5168

= 323 / 272

= 323


Step2:

LCM(17, 257) = 4369

GCD(17, 257) = ( 17 x 257 ) / 4369

= 17 / 257

= 17


Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


So, Greatest Common Divisor of 323, 272, 257, 682 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 323, 272, 257, 682

Given numbers are 323, 272, 257, 682
The greatest common divisor of numbers 323, 272, 257, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 272, 257, 682 is 1.

FAQs on GCD of 323, 272, 257, 682 Calculator

1. What is the GCD of 323, 272, 257, 682?

GCD of given numbers 323, 272, 257, 682 is 1


2. How to calculate the greatest common divisor of 323, 272, 257, 682?

We can find the highest common divisor of 323, 272, 257, 682 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 323, 272, 257, 682 i.e 1.


3. How can I use the GCD of 323, 272, 257, 682Calculator?

Out the numbers 323, 272, 257, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.