GCD of 822, 147, 207 Calculator

Given Input numbers are 822, 147, 207

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 822, 147, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 147, 207 is 3.

Therefore, GCD of numbers 822, 147, 207 is 3

Given Input Data is 822, 147, 207

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 207 is 3 x 3 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(822, 147) = 40278

GCD(822, 147) = ( 822 x 147 ) / 40278

GCD(822, 147) = 120834 / 40278

GCD(822, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 207

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

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

GCD(3, 207) = 621 / 207

GCD(3, 207) = 3

GCD of 822, 147, 207 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 130, 721
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• GCD of 275, 440, 805
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1. What is the GCD of 822, 147, 207?

GCD of 822, 147, 207 is 3

2. Where do I get the detailed procedure to find GCD of 822, 147, 207?

You can find a detailed procedure to find GCD of 822, 147, 207 on our page.

3. How to find GCD of 822, 147, 207 on a calculator?

You can find the GCD of 822, 147, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.