GCD of 668, 824, 380 Calculator

Given Input numbers are 668, 824, 380

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

Divisors of 668

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

1, 2, 4, 167, 334, 668

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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

Greatest Common Divisior

We found the divisors of 668, 824, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 824, 380 is 4.

Therefore, GCD of numbers 668, 824, 380 is 4

Given Input Data is 668, 824, 380

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(668, 824) = 137608

GCD(668, 824) = ( 668 x 824 ) / 137608

GCD(668, 824) = 550432 / 137608

GCD(668, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 380

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

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

GCD(4, 380) = 1520 / 380

GCD(4, 380) = 4

GCD of 668, 824, 380 is 4

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1. What is the GCD of 668, 824, 380?

GCD of 668, 824, 380 is 4

2. Where do I get the detailed procedure to find GCD of 668, 824, 380?

You can find a detailed procedure to find GCD of 668, 824, 380 on our page.

3. How to find GCD of 668, 824, 380 on a calculator?

You can find the GCD of 668, 824, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.