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GCD of 240, 530, 465, 855 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, 530, 465, 855 quickly. Get the easiest ways to solve the greatest common divisor of 240, 530, 465, 855 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 530, 465, 855 with Factoring?

Given Input numbers are 240, 530, 465, 855

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (240, 530, 465, 855) = 5.

Find GCD of 240, 530, 465, 855 using Prime Factorization

Given numbers are 240, 530, 465, 855

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 530 are 2 x 5 x 53

Prime factors of 465 are 3 x 5 x 31

Prime factors of 855 are 3 x 3 x 5 x 19

The highest common occurrence is 51

Therefore, GCD of 240, 530, 465, 855 is 5.

Steps to Calculate GCD of 240, 530, 465, 855 using LCM Formula

Given numbers are 240, 530, 465, 855

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

Apply this formula for all numbers.

Step1:

LCM(240, 530) = 12720

GCD(240, 530) = ( 240 x 530 ) / 12720

= 240 / 530

= 240


Step2:

LCM(10, 465) = 930

GCD(10, 465) = ( 10 x 465 ) / 930

= 10 / 465

= 10


Step3:

LCM(5, 855) = 855

GCD(5, 855) = ( 5 x 855 ) / 855

= 5 / 855

= 5


So, Greatest Common Divisor of 240, 530, 465, 855 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 530, 465, 855

Given numbers are 240, 530, 465, 855
The greatest common divisor of numbers 240, 530, 465, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 530, 465, 855 is 5.

FAQs on GCD of 240, 530, 465, 855 Calculator

1. What is the GCD of 240, 530, 465, 855?

GCD of given numbers 240, 530, 465, 855 is 5


2. How to calculate the greatest common divisor of 240, 530, 465, 855?

We can find the highest common divisor of 240, 530, 465, 855 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, 530, 465, 855 i.e 5.


3. How can I use the GCD of 240, 530, 465, 855Calculator?

Out the numbers 240, 530, 465, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.