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GCD of 320, 205, 733, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 205, 733, 272 quickly. Get the easiest ways to solve the greatest common divisor of 320, 205, 733, 272 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 205, 733, 272 with Factoring?

Given Input numbers are 320, 205, 733, 272

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 272 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (320, 205, 733, 272) = 1.

Find GCD of 320, 205, 733, 272 using Prime Factorization

Given numbers are 320, 205, 733, 272

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 205 are 5 x 41

Prime factors of 733 are 733

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

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

Steps to Calculate GCD of 320, 205, 733, 272 using LCM Formula

Given numbers are 320, 205, 733, 272

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

Apply this formula for all numbers.

Step1:

LCM(320, 205) = 13120

GCD(320, 205) = ( 320 x 205 ) / 13120

= 320 / 205

= 320


Step2:

LCM(5, 733) = 3665

GCD(5, 733) = ( 5 x 733 ) / 3665

= 5 / 733

= 5


Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


So, Greatest Common Divisor of 320, 205, 733, 272 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 205, 733, 272

Given numbers are 320, 205, 733, 272
The greatest common divisor of numbers 320, 205, 733, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 205, 733, 272 is 1.

FAQs on GCD of 320, 205, 733, 272 Calculator

1. What is the GCD of 320, 205, 733, 272?

GCD of given numbers 320, 205, 733, 272 is 1


2. How to calculate the greatest common divisor of 320, 205, 733, 272?

We can find the highest common divisor of 320, 205, 733, 272 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 320, 205, 733, 272 i.e 1.


3. How can I use the GCD of 320, 205, 733, 272Calculator?

Out the numbers 320, 205, 733, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.