GCD of 380, 290, 412, 876 Calculator

Given Input numbers are 380, 290, 412, 876

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 380, 290, 412, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 290, 412, 876 is 2.

Therefore, GCD of numbers 380, 290, 412, 876 is 2

Given Input Data is 380, 290, 412, 876

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 290 is 2 x 5 x 29

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 876 is 2 x 2 x 3 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 290) = 11020

GCD(380, 290) = ( 380 x 290 ) / 11020

GCD(380, 290) = 110200 / 11020

GCD(380, 290) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 412

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

LCM(10, 412) = 2060

GCD(10, 412) = ( 10 x 412 ) / 2060

GCD(10, 412) = 4120 / 2060

GCD(10, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 380, 290, 412, 876 is 2

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1. What is the GCD of 380, 290, 412, 876?

GCD of 380, 290, 412, 876 is 2

2. Where do I get the detailed procedure to find GCD of 380, 290, 412, 876?

You can find a detailed procedure to find GCD of 380, 290, 412, 876 on our page.

3. How to find GCD of 380, 290, 412, 876 on a calculator?

You can find the GCD of 380, 290, 412, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.