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GCD of 531, 528, 255 Calculator

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


Online GCD Calculator is useful to find the GCD of 531, 528, 255 quickly. Get the easiest ways to solve the greatest common divisor of 531, 528, 255 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 531, 528, 255 with Factoring?

Given Input numbers are 531, 528, 255

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255


GCD of numbers is the greatest common divisor

So, the GCD (531, 528, 255) = 3.

Find GCD of 531, 528, 255 using Prime Factorization

Given numbers are 531, 528, 255

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

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

Prime factors of 255 are 3 x 5 x 17

The highest common occurrence is 31

Therefore, GCD of 531, 528, 255 is 3.

Steps to Calculate GCD of 531, 528, 255 using LCM Formula

Given numbers are 531, 528, 255

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

Apply this formula for all numbers.

Step1:

LCM(531, 528) = 93456

GCD(531, 528) = ( 531 x 528 ) / 93456

= 531 / 528

= 531


Step2:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3


So, Greatest Common Divisor of 531, 528, 255 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 531, 528, 255

Given numbers are 531, 528, 255
The greatest common divisor of numbers 531, 528, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 528, 255 is 3.

FAQs on GCD of 531, 528, 255 Calculator

1. What is the GCD of 531, 528, 255?

GCD of given numbers 531, 528, 255 is 3


2. How to calculate the greatest common divisor of 531, 528, 255?

We can find the highest common divisor of 531, 528, 255 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 531, 528, 255 i.e 3.


3. How can I use the GCD of 531, 528, 255Calculator?

Out the numbers 531, 528, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.