GCD of 380, 946, 18 Calculator

Given Input numbers are 380, 946, 18

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Greatest Common Divisior

We found the divisors of 380, 946, 18 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 946, 18 is 2.

Therefore, GCD of numbers 380, 946, 18 is 2

Given Input Data is 380, 946, 18

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 946 is 2 x 11 x 43

Prime Factorization of 18 is 2 x 3 x 3

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, 946) = 179740

GCD(380, 946) = ( 380 x 946 ) / 179740

GCD(380, 946) = 359480 / 179740

GCD(380, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

GCD of 380, 946, 18 is 2

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• GCD of 862, 945, 90
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1. What is the GCD of 380, 946, 18?

GCD of 380, 946, 18 is 2

2. Where do I get the detailed procedure to find GCD of 380, 946, 18?

You can find a detailed procedure to find GCD of 380, 946, 18 on our page.

3. How to find GCD of 380, 946, 18 on a calculator?

You can find the GCD of 380, 946, 18 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.