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GCD of 561, 231, 831, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 561, 231, 831, 331 quickly. Get the easiest ways to solve the greatest common divisor of 561, 231, 831, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 231, 831, 331 with Factoring?

Given Input numbers are 561, 231, 831, 331

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (561, 231, 831, 331) = 1.

Find GCD of 561, 231, 831, 331 using Prime Factorization

Given numbers are 561, 231, 831, 331

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 831 are 3 x 277

Prime factors of 331 are 331

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

Steps to Calculate GCD of 561, 231, 831, 331 using LCM Formula

Given numbers are 561, 231, 831, 331

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

Apply this formula for all numbers.

Step1:

LCM(561, 231) = 3927

GCD(561, 231) = ( 561 x 231 ) / 3927

= 561 / 231

= 561


Step2:

LCM(33, 831) = 9141

GCD(33, 831) = ( 33 x 831 ) / 9141

= 33 / 831

= 33


Step3:

LCM(3, 331) = 993

GCD(3, 331) = ( 3 x 331 ) / 993

= 3 / 331

= 3


So, Greatest Common Divisor of 561, 231, 831, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 561, 231, 831, 331

Given numbers are 561, 231, 831, 331
The greatest common divisor of numbers 561, 231, 831, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 231, 831, 331 is 1.

FAQs on GCD of 561, 231, 831, 331 Calculator

1. What is the GCD of 561, 231, 831, 331?

GCD of given numbers 561, 231, 831, 331 is 1


2. How to calculate the greatest common divisor of 561, 231, 831, 331?

We can find the highest common divisor of 561, 231, 831, 331 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 561, 231, 831, 331 i.e 1.


3. How can I use the GCD of 561, 231, 831, 331Calculator?

Out the numbers 561, 231, 831, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.