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GCD of 531, 348, 813 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, 348, 813 quickly. Get the easiest ways to solve the greatest common divisor of 531, 348, 813 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 531, 348, 813 with Factoring?

Given Input numbers are 531, 348, 813

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813


GCD of numbers is the greatest common divisor

So, the GCD (531, 348, 813) = 3.

Find GCD of 531, 348, 813 using Prime Factorization

Given numbers are 531, 348, 813

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 813 are 3 x 271

The highest common occurrence is 31

Therefore, GCD of 531, 348, 813 is 3.

Steps to Calculate GCD of 531, 348, 813 using LCM Formula

Given numbers are 531, 348, 813

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

Apply this formula for all numbers.

Step1:

LCM(531, 348) = 61596

GCD(531, 348) = ( 531 x 348 ) / 61596

= 531 / 348

= 531


Step2:

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

= 3 / 813

= 3


So, Greatest Common Divisor of 531, 348, 813 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 531, 348, 813

Given numbers are 531, 348, 813
The greatest common divisor of numbers 531, 348, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 348, 813 is 3.

FAQs on GCD of 531, 348, 813 Calculator

1. What is the GCD of 531, 348, 813?

GCD of given numbers 531, 348, 813 is 3


2. How to calculate the greatest common divisor of 531, 348, 813?

We can find the highest common divisor of 531, 348, 813 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, 348, 813 i.e 3.


3. How can I use the GCD of 531, 348, 813Calculator?

Out the numbers 531, 348, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.