GCD of 10, 380, 823, 668 Calculator

Given Input numbers are 10, 380, 823, 668

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 823

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

1, 823

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 10, 380, 823, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 380, 823, 668 is 1.

Therefore, GCD of numbers 10, 380, 823, 668 is 1

Given Input Data is 10, 380, 823, 668

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 823 is 823

Prime Factorization of 668 is 2 x 2 x 167

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(10, 380) = 380

GCD(10, 380) = ( 10 x 380 ) / 380

GCD(10, 380) = 3800 / 380

GCD(10, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 823

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

LCM(10, 823) = 8230

GCD(10, 823) = ( 10 x 823 ) / 8230

GCD(10, 823) = 8230 / 8230

GCD(10, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 10, 380, 823, 668 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 228, 126, 899
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• GCD of 61, 329, 536, 205

1. What is the GCD of 10, 380, 823, 668?

GCD of 10, 380, 823, 668 is 1

2. Where do I get the detailed procedure to find GCD of 10, 380, 823, 668?

You can find a detailed procedure to find GCD of 10, 380, 823, 668 on our page.

3. How to find GCD of 10, 380, 823, 668 on a calculator?

You can find the GCD of 10, 380, 823, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.