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GCD of 384, 487, 278, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 384, 487, 278, 720 quickly. Get the easiest ways to solve the greatest common divisor of 384, 487, 278, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 384, 487, 278, 720 with Factoring?

Given Input numbers are 384, 487, 278, 720

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

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


GCD of numbers is the greatest common divisor

So, the GCD (384, 487, 278, 720) = 1.

Find GCD of 384, 487, 278, 720 using Prime Factorization

Given numbers are 384, 487, 278, 720

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 487 are 487

Prime factors of 278 are 2 x 139

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

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

Steps to Calculate GCD of 384, 487, 278, 720 using LCM Formula

Given numbers are 384, 487, 278, 720

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

Apply this formula for all numbers.

Step1:

LCM(384, 487) = 187008

GCD(384, 487) = ( 384 x 487 ) / 187008

= 384 / 487

= 384


Step2:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 384, 487, 278, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 384, 487, 278, 720

Given numbers are 384, 487, 278, 720
The greatest common divisor of numbers 384, 487, 278, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 487, 278, 720 is 1.

FAQs on GCD of 384, 487, 278, 720 Calculator

1. What is the GCD of 384, 487, 278, 720?

GCD of given numbers 384, 487, 278, 720 is 1


2. How to calculate the greatest common divisor of 384, 487, 278, 720?

We can find the highest common divisor of 384, 487, 278, 720 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 384, 487, 278, 720 i.e 1.


3. How can I use the GCD of 384, 487, 278, 720Calculator?

Out the numbers 384, 487, 278, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.