GCD of 418, 980, 368 Calculator

Given Input numbers are 418, 980, 368

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 418, 980, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 980, 368 is 2.

Therefore, GCD of numbers 418, 980, 368 is 2

Given Input Data is 418, 980, 368

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(418, 980) = 204820

GCD(418, 980) = ( 418 x 980 ) / 204820

GCD(418, 980) = 409640 / 204820

GCD(418, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 418, 980, 368 is 2

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1. What is the GCD of 418, 980, 368?

GCD of 418, 980, 368 is 2

2. Where do I get the detailed procedure to find GCD of 418, 980, 368?

You can find a detailed procedure to find GCD of 418, 980, 368 on our page.

3. How to find GCD of 418, 980, 368 on a calculator?

You can find the GCD of 418, 980, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.