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GCD of 531, 382, 447, 825 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, 382, 447, 825 quickly. Get the easiest ways to solve the greatest common divisor of 531, 382, 447, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 531, 382, 447, 825 with Factoring?

Given Input numbers are 531, 382, 447, 825

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825


GCD of numbers is the greatest common divisor

So, the GCD (531, 382, 447, 825) = 1.

Find GCD of 531, 382, 447, 825 using Prime Factorization

Given numbers are 531, 382, 447, 825

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 382 are 2 x 191

Prime factors of 447 are 3 x 149

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 531, 382, 447, 825 using LCM Formula

Given numbers are 531, 382, 447, 825

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

Apply this formula for all numbers.

Step1:

LCM(531, 382) = 202842

GCD(531, 382) = ( 531 x 382 ) / 202842

= 531 / 382

= 531


Step2:

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

= 1 / 447

= 1


Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


So, Greatest Common Divisor of 531, 382, 447, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 531, 382, 447, 825

Given numbers are 531, 382, 447, 825
The greatest common divisor of numbers 531, 382, 447, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 382, 447, 825 is 1.

FAQs on GCD of 531, 382, 447, 825 Calculator

1. What is the GCD of 531, 382, 447, 825?

GCD of given numbers 531, 382, 447, 825 is 1


2. How to calculate the greatest common divisor of 531, 382, 447, 825?

We can find the highest common divisor of 531, 382, 447, 825 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, 382, 447, 825 i.e 1.


3. How can I use the GCD of 531, 382, 447, 825Calculator?

Out the numbers 531, 382, 447, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.