GCD of 723, 822, 887, 381 Calculator

Given Input numbers are 723, 822, 887, 381

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 723, 822, 887, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 822, 887, 381 is 1.

Therefore, GCD of numbers 723, 822, 887, 381 is 1

Given Input Data is 723, 822, 887, 381

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 887 is 887

Prime Factorization of 381 is 3 x 127

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(723, 822) = 198102

GCD(723, 822) = ( 723 x 822 ) / 198102

GCD(723, 822) = 594306 / 198102

GCD(723, 822) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 887

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

LCM(3, 887) = 2661

GCD(3, 887) = ( 3 x 887 ) / 2661

GCD(3, 887) = 2661 / 2661

GCD(3, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 723, 822, 887, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 753, 389, 771
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• GCD of 409, 160, 159, 154
• GCD of 839, 164, 638, 704
• GCD of 720, 386, 944, 629

1. What is the GCD of 723, 822, 887, 381?

GCD of 723, 822, 887, 381 is 1

2. Where do I get the detailed procedure to find GCD of 723, 822, 887, 381?

You can find a detailed procedure to find GCD of 723, 822, 887, 381 on our page.

3. How to find GCD of 723, 822, 887, 381 on a calculator?

You can find the GCD of 723, 822, 887, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.