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GCD of 240, 591, 460, 520 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 591, 460, 520 quickly. Get the easiest ways to solve the greatest common divisor of 240, 591, 460, 520 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 591, 460, 520 with Factoring?

Given Input numbers are 240, 591, 460, 520

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520


GCD of numbers is the greatest common divisor

So, the GCD (240, 591, 460, 520) = 1.

Find GCD of 240, 591, 460, 520 using Prime Factorization

Given numbers are 240, 591, 460, 520

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 591 are 3 x 197

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Steps to Calculate GCD of 240, 591, 460, 520 using LCM Formula

Given numbers are 240, 591, 460, 520

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

Apply this formula for all numbers.

Step1:

LCM(240, 591) = 47280

GCD(240, 591) = ( 240 x 591 ) / 47280

= 240 / 591

= 240


Step2:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3


Step3:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1


So, Greatest Common Divisor of 240, 591, 460, 520 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 591, 460, 520

Given numbers are 240, 591, 460, 520
The greatest common divisor of numbers 240, 591, 460, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 591, 460, 520 is 1.

FAQs on GCD of 240, 591, 460, 520 Calculator

1. What is the GCD of 240, 591, 460, 520?

GCD of given numbers 240, 591, 460, 520 is 1


2. How to calculate the greatest common divisor of 240, 591, 460, 520?

We can find the highest common divisor of 240, 591, 460, 520 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 240, 591, 460, 520 i.e 1.


3. How can I use the GCD of 240, 591, 460, 520Calculator?

Out the numbers 240, 591, 460, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.