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GCD of 720, 399, 656, 239 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 399, 656, 239 quickly. Get the easiest ways to solve the greatest common divisor of 720, 399, 656, 239 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 399, 656, 239 with Factoring?

Given Input numbers are 720, 399, 656, 239

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239


GCD of numbers is the greatest common divisor

So, the GCD (720, 399, 656, 239) = 1.

Find GCD of 720, 399, 656, 239 using Prime Factorization

Given numbers are 720, 399, 656, 239

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 399 are 3 x 7 x 19

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 239 are 239

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

Steps to Calculate GCD of 720, 399, 656, 239 using LCM Formula

Given numbers are 720, 399, 656, 239

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

Apply this formula for all numbers.

Step1:

LCM(720, 399) = 95760

GCD(720, 399) = ( 720 x 399 ) / 95760

= 720 / 399

= 720


Step2:

LCM(3, 656) = 1968

GCD(3, 656) = ( 3 x 656 ) / 1968

= 3 / 656

= 3


Step3:

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

= 1 / 239

= 1


So, Greatest Common Divisor of 720, 399, 656, 239 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 399, 656, 239

Given numbers are 720, 399, 656, 239
The greatest common divisor of numbers 720, 399, 656, 239 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 399, 656, 239 is 1.

FAQs on GCD of 720, 399, 656, 239 Calculator

1. What is the GCD of 720, 399, 656, 239?

GCD of given numbers 720, 399, 656, 239 is 1


2. How to calculate the greatest common divisor of 720, 399, 656, 239?

We can find the highest common divisor of 720, 399, 656, 239 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 720, 399, 656, 239 i.e 1.


3. How can I use the GCD of 720, 399, 656, 239Calculator?

Out the numbers 720, 399, 656, 239 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.