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GCD of 272, 309, 796, 303 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 309, 796, 303 quickly. Get the easiest ways to solve the greatest common divisor of 272, 309, 796, 303 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 309, 796, 303 with Factoring?

Given Input numbers are 272, 309, 796, 303

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

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303


GCD of numbers is the greatest common divisor

So, the GCD (272, 309, 796, 303) = 1.

Find GCD of 272, 309, 796, 303 using Prime Factorization

Given numbers are 272, 309, 796, 303

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 796 are 2 x 2 x 199

Prime factors of 303 are 3 x 101

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

Steps to Calculate GCD of 272, 309, 796, 303 using LCM Formula

Given numbers are 272, 309, 796, 303

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

Apply this formula for all numbers.

Step1:

LCM(272, 309) = 84048

GCD(272, 309) = ( 272 x 309 ) / 84048

= 272 / 309

= 272


Step2:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1


Step3:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1


So, Greatest Common Divisor of 272, 309, 796, 303 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 309, 796, 303

Given numbers are 272, 309, 796, 303
The greatest common divisor of numbers 272, 309, 796, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 309, 796, 303 is 1.

FAQs on GCD of 272, 309, 796, 303 Calculator

1. What is the GCD of 272, 309, 796, 303?

GCD of given numbers 272, 309, 796, 303 is 1


2. How to calculate the greatest common divisor of 272, 309, 796, 303?

We can find the highest common divisor of 272, 309, 796, 303 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 272, 309, 796, 303 i.e 1.


3. How can I use the GCD of 272, 309, 796, 303Calculator?

Out the numbers 272, 309, 796, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.