GCD of 822, 123, 44, 640 Calculator

Given Input numbers are 822, 123, 44, 640

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 822, 123, 44, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 123, 44, 640 is 1.

Therefore, GCD of numbers 822, 123, 44, 640 is 1

Given Input Data is 822, 123, 44, 640

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 123 is 3 x 41

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(822, 123) = 33702

GCD(822, 123) = ( 822 x 123 ) / 33702

GCD(822, 123) = 101106 / 33702

GCD(822, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 822, 123, 44, 640 is 1

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• GCD of 899, 863, 81, 374
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1. What is the GCD of 822, 123, 44, 640?

GCD of 822, 123, 44, 640 is 1

2. Where do I get the detailed procedure to find GCD of 822, 123, 44, 640?

You can find a detailed procedure to find GCD of 822, 123, 44, 640 on our page.

3. How to find GCD of 822, 123, 44, 640 on a calculator?

You can find the GCD of 822, 123, 44, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.