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GCD of 530, 864, 204, 780 Calculator

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


Online GCD Calculator is useful to find the GCD of 530, 864, 204, 780 quickly. Get the easiest ways to solve the greatest common divisor of 530, 864, 204, 780 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 530, 864, 204, 780 with Factoring?

Given Input numbers are 530, 864, 204, 780

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

Divisors of 530 :

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

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780


GCD of numbers is the greatest common divisor

So, the GCD (530, 864, 204, 780) = 2.

Find GCD of 530, 864, 204, 780 using Prime Factorization

Given numbers are 530, 864, 204, 780

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 530, 864, 204, 780 is 2.

Steps to Calculate GCD of 530, 864, 204, 780 using LCM Formula

Given numbers are 530, 864, 204, 780

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

Apply this formula for all numbers.

Step1:

LCM(530, 864) = 228960

GCD(530, 864) = ( 530 x 864 ) / 228960

= 530 / 864

= 530


Step2:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2


Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2


So, Greatest Common Divisor of 530, 864, 204, 780 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 530, 864, 204, 780

Given numbers are 530, 864, 204, 780
The greatest common divisor of numbers 530, 864, 204, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 864, 204, 780 is 2.

FAQs on GCD of 530, 864, 204, 780 Calculator

1. What is the GCD of 530, 864, 204, 780?

GCD of given numbers 530, 864, 204, 780 is 2


2. How to calculate the greatest common divisor of 530, 864, 204, 780?

We can find the highest common divisor of 530, 864, 204, 780 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 530, 864, 204, 780 i.e 2.


3. How can I use the GCD of 530, 864, 204, 780Calculator?

Out the numbers 530, 864, 204, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.