GCD of 823, 445, 21, 132 Calculator

Given Input numbers are 823, 445, 21, 132

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 823, 445, 21, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 445, 21, 132 is 1.

Therefore, GCD of numbers 823, 445, 21, 132 is 1

Given Input Data is 823, 445, 21, 132

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

Prime Factorization of 823 is 823

Prime Factorization of 445 is 5 x 89

Prime Factorization of 21 is 3 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

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(823, 445) = 366235

GCD(823, 445) = ( 823 x 445 ) / 366235

GCD(823, 445) = 366235 / 366235

GCD(823, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 823, 445, 21, 132 is 1

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• GCD of 879, 957, 70, 944
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1. What is the GCD of 823, 445, 21, 132?

GCD of 823, 445, 21, 132 is 1

2. Where do I get the detailed procedure to find GCD of 823, 445, 21, 132?

You can find a detailed procedure to find GCD of 823, 445, 21, 132 on our page.

3. How to find GCD of 823, 445, 21, 132 on a calculator?

You can find the GCD of 823, 445, 21, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.