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GCD of 231, 959, 465 Calculator

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


Online GCD Calculator is useful to find the GCD of 231, 959, 465 quickly. Get the easiest ways to solve the greatest common divisor of 231, 959, 465 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 231, 959, 465 with Factoring?

Given Input numbers are 231, 959, 465

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

Divisors of 231 :

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

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

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465


GCD of numbers is the greatest common divisor

So, the GCD (231, 959, 465) = 1.

Find GCD of 231, 959, 465 using Prime Factorization

Given numbers are 231, 959, 465

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 959 are 7 x 137

Prime factors of 465 are 3 x 5 x 31

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

Steps to Calculate GCD of 231, 959, 465 using LCM Formula

Given numbers are 231, 959, 465

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

Apply this formula for all numbers.

Step1:

LCM(231, 959) = 31647

GCD(231, 959) = ( 231 x 959 ) / 31647

= 231 / 959

= 231


Step2:

LCM(7, 465) = 3255

GCD(7, 465) = ( 7 x 465 ) / 3255

= 7 / 465

= 7


So, Greatest Common Divisor of 231, 959, 465 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 231, 959, 465

Given numbers are 231, 959, 465
The greatest common divisor of numbers 231, 959, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 959, 465 is 1.

FAQs on GCD of 231, 959, 465 Calculator

1. What is the GCD of 231, 959, 465?

GCD of given numbers 231, 959, 465 is 1


2. How to calculate the greatest common divisor of 231, 959, 465?

We can find the highest common divisor of 231, 959, 465 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 231, 959, 465 i.e 1.


3. How can I use the GCD of 231, 959, 465Calculator?

Out the numbers 231, 959, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.