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GCD of 531, 804, 474 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, 804, 474 quickly. Get the easiest ways to solve the greatest common divisor of 531, 804, 474 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 531, 804, 474 with Factoring?

Given Input numbers are 531, 804, 474

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474


GCD of numbers is the greatest common divisor

So, the GCD (531, 804, 474) = 3.

Find GCD of 531, 804, 474 using Prime Factorization

Given numbers are 531, 804, 474

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 31

Therefore, GCD of 531, 804, 474 is 3.

Steps to Calculate GCD of 531, 804, 474 using LCM Formula

Given numbers are 531, 804, 474

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

Apply this formula for all numbers.

Step1:

LCM(531, 804) = 142308

GCD(531, 804) = ( 531 x 804 ) / 142308

= 531 / 804

= 531


Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3


So, Greatest Common Divisor of 531, 804, 474 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 531, 804, 474

Given numbers are 531, 804, 474
The greatest common divisor of numbers 531, 804, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 804, 474 is 3.

FAQs on GCD of 531, 804, 474 Calculator

1. What is the GCD of 531, 804, 474?

GCD of given numbers 531, 804, 474 is 3


2. How to calculate the greatest common divisor of 531, 804, 474?

We can find the highest common divisor of 531, 804, 474 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, 804, 474 i.e 3.


3. How can I use the GCD of 531, 804, 474Calculator?

Out the numbers 531, 804, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.