Where do I get the detailed procedure to find GCD of 966, 216, 801?

You can find a detailed procedure to find GCD of 966, 216, 801 on our page.

How to find GCD of 966, 216, 801 on a calculator?

You can find the GCD of 966, 216, 801 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 966, 216, 801 Calculator

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

Online GCD Calculator is useful to find the GCD of 966, 216, 801 quickly. Get the easiest ways to solve the greatest common divisor of 966, 216, 801 i.e 3 in different methods as follows.

How to Find GCD of Numbers 966, 216, 801 with Factoring?

Given Input numbers are 966, 216, 801

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

GCD of numbers is the greatest common divisor

So, the GCD (966, 216, 801) = 3.

Find GCD of 966, 216, 801 using Prime Factorization

Given numbers are 966, 216, 801

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 801 are 3 x 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 966, 216, 801 is 3.

Steps to Calculate GCD of 966, 216, 801 using LCM Formula

Given numbers are 966, 216, 801

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

Apply this formula for all numbers.

Step1:

LCM(966, 216) = 34776

GCD(966, 216) = ( 966 x 216 ) / 34776

= 966 / 216

= 966

Step2:

LCM(6, 801) = 1602

GCD(6, 801) = ( 6 x 801 ) / 1602

= 6 / 801

= 6

So, Greatest Common Divisor of 966, 216, 801 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 966, 216, 801

Given numbers are 966, 216, 801
The greatest common divisor of numbers 966, 216, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 216, 801 is 3.

FAQs on GCD of 966, 216, 801 Calculator

1. What is the GCD of 966, 216, 801?

GCD of given numbers 966, 216, 801 is 3

2. How to calculate the greatest common divisor of 966, 216, 801?

We can find the highest common divisor of 966, 216, 801 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 966, 216, 801 i.e 3.

3. How can I use the GCD of 966, 216, 801Calculator?

Out the numbers 966, 216, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.