GCD of 294, 388, 980, 378 Calculator

Given Input numbers are 294, 388, 980, 378

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 294, 388, 980, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 388, 980, 378 is 2.

Therefore, GCD of numbers 294, 388, 980, 378 is 2

Given Input Data is 294, 388, 980, 378

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 388 is 2 x 2 x 97

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(294, 388) = 57036

GCD(294, 388) = ( 294 x 388 ) / 57036

GCD(294, 388) = 114072 / 57036

GCD(294, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

GCD of 294, 388, 980, 378 is 2

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1. What is the GCD of 294, 388, 980, 378?

GCD of 294, 388, 980, 378 is 2

2. Where do I get the detailed procedure to find GCD of 294, 388, 980, 378?

You can find a detailed procedure to find GCD of 294, 388, 980, 378 on our page.

3. How to find GCD of 294, 388, 980, 378 on a calculator?

You can find the GCD of 294, 388, 980, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.