Where do I get the detailed procedure to find GCD of 822, 972, 210?

You can find a detailed procedure to find GCD of 822, 972, 210 on our page.

How to find GCD of 822, 972, 210 on a calculator?

You can find the GCD of 822, 972, 210 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 822, 972, 210 Calculator

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

Online GCD Calculator is useful to find the GCD of 822, 972, 210 quickly. Get the easiest ways to solve the greatest common divisor of 822, 972, 210 i.e 6 in different methods as follows.

How to Find GCD of Numbers 822, 972, 210 with Factoring?

Given Input numbers are 822, 972, 210

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (822, 972, 210) = 6.

Find GCD of 822, 972, 210 using Prime Factorization

Given numbers are 822, 972, 210

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 822, 972, 210 is 6.

Steps to Calculate GCD of 822, 972, 210 using LCM Formula

Given numbers are 822, 972, 210

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

Apply this formula for all numbers.

Step1:

LCM(822, 972) = 133164

GCD(822, 972) = ( 822 x 972 ) / 133164

= 822 / 972

= 822

Step2:

LCM(6, 210) = 210

GCD(6, 210) = ( 6 x 210 ) / 210

= 6 / 210

= 6

So, Greatest Common Divisor of 822, 972, 210 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 822, 972, 210

Given numbers are 822, 972, 210
The greatest common divisor of numbers 822, 972, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 972, 210 is 6.

FAQs on GCD of 822, 972, 210 Calculator

1. What is the GCD of 822, 972, 210?

GCD of given numbers 822, 972, 210 is 6

2. How to calculate the greatest common divisor of 822, 972, 210?

We can find the highest common divisor of 822, 972, 210 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 822, 972, 210 i.e 6.

3. How can I use the GCD of 822, 972, 210Calculator?

Out the numbers 822, 972, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.