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GCD of 528, 468, 512, 260 Calculator

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


Online GCD Calculator is useful to find the GCD of 528, 468, 512, 260 quickly. Get the easiest ways to solve the greatest common divisor of 528, 468, 512, 260 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 528, 468, 512, 260 with Factoring?

Given Input numbers are 528, 468, 512, 260

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260


GCD of numbers is the greatest common divisor

So, the GCD (528, 468, 512, 260) = 4.

Find GCD of 528, 468, 512, 260 using Prime Factorization

Given numbers are 528, 468, 512, 260

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 22

Therefore, GCD of 528, 468, 512, 260 is 4.

Steps to Calculate GCD of 528, 468, 512, 260 using LCM Formula

Given numbers are 528, 468, 512, 260

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

Apply this formula for all numbers.

Step1:

LCM(528, 468) = 20592

GCD(528, 468) = ( 528 x 468 ) / 20592

= 528 / 468

= 528


Step2:

LCM(12, 512) = 1536

GCD(12, 512) = ( 12 x 512 ) / 1536

= 12 / 512

= 12


Step3:

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

= 4 / 260

= 4


So, Greatest Common Divisor of 528, 468, 512, 260 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 528, 468, 512, 260

Given numbers are 528, 468, 512, 260
The greatest common divisor of numbers 528, 468, 512, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 468, 512, 260 is 4.

FAQs on GCD of 528, 468, 512, 260 Calculator

1. What is the GCD of 528, 468, 512, 260?

GCD of given numbers 528, 468, 512, 260 is 4


2. How to calculate the greatest common divisor of 528, 468, 512, 260?

We can find the highest common divisor of 528, 468, 512, 260 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 528, 468, 512, 260 i.e 4.


3. How can I use the GCD of 528, 468, 512, 260Calculator?

Out the numbers 528, 468, 512, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.