Where do I get the detailed procedure to find GCD of 231, 945, 805?

You can find a detailed procedure to find GCD of 231, 945, 805 on our page.

How to find GCD of 231, 945, 805 on a calculator?

You can find the GCD of 231, 945, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 231, 945, 805 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, 945, 805 quickly. Get the easiest ways to solve the greatest common divisor of 231, 945, 805 i.e 7 in different methods as follows.

How to Find GCD of Numbers 231, 945, 805 with Factoring?

Given Input numbers are 231, 945, 805

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

GCD of numbers is the greatest common divisor

So, the GCD (231, 945, 805) = 7.

Find GCD of 231, 945, 805 using Prime Factorization

Given numbers are 231, 945, 805

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 805 are 5 x 7 x 23

The highest common occurrence is 7¹

Therefore, GCD of 231, 945, 805 is 7.

Steps to Calculate GCD of 231, 945, 805 using LCM Formula

Given numbers are 231, 945, 805

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

Apply this formula for all numbers.

Step1:

LCM(231, 945) = 10395

GCD(231, 945) = ( 231 x 945 ) / 10395

= 231 / 945

= 231

Step2:

LCM(21, 805) = 2415

GCD(21, 805) = ( 21 x 805 ) / 2415

= 21 / 805

= 21

So, Greatest Common Divisor of 231, 945, 805 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 231, 945, 805

Given numbers are 231, 945, 805
The greatest common divisor of numbers 231, 945, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 945, 805 is 7.

FAQs on GCD of 231, 945, 805 Calculator

1. What is the GCD of 231, 945, 805?

GCD of given numbers 231, 945, 805 is 7

2. How to calculate the greatest common divisor of 231, 945, 805?

We can find the highest common divisor of 231, 945, 805 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, 945, 805 i.e 7.

3. How can I use the GCD of 231, 945, 805Calculator?

Out the numbers 231, 945, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.