GCD of 380, 466, 29, 869 Calculator

Given Input numbers are 380, 466, 29, 869

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

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 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 380, 466, 29, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 466, 29, 869 is 1.

Therefore, GCD of numbers 380, 466, 29, 869 is 1

Given Input Data is 380, 466, 29, 869

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

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 29 is 29

Prime Factorization of 869 is 11 x 79

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(380, 466) = 88540

GCD(380, 466) = ( 380 x 466 ) / 88540

GCD(380, 466) = 177080 / 88540

GCD(380, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 380, 466, 29, 869 is 1

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1. What is the GCD of 380, 466, 29, 869?

GCD of 380, 466, 29, 869 is 1

2. Where do I get the detailed procedure to find GCD of 380, 466, 29, 869?

You can find a detailed procedure to find GCD of 380, 466, 29, 869 on our page.

3. How to find GCD of 380, 466, 29, 869 on a calculator?

You can find the GCD of 380, 466, 29, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.