GCD of 378, 686, 982, 186 Calculator

Given Input numbers are 378, 686, 982, 186

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

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 378, 686, 982, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 686, 982, 186 is 2.

Therefore, GCD of numbers 378, 686, 982, 186 is 2

Given Input Data is 378, 686, 982, 186

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

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 982 is 2 x 491

Prime Factorization of 186 is 2 x 3 x 31

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(378, 686) = 18522

GCD(378, 686) = ( 378 x 686 ) / 18522

GCD(378, 686) = 259308 / 18522

GCD(378, 686) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 982

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

LCM(14, 982) = 6874

GCD(14, 982) = ( 14 x 982 ) / 6874

GCD(14, 982) = 13748 / 6874

GCD(14, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

GCD of 378, 686, 982, 186 is 2

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1. What is the GCD of 378, 686, 982, 186?

GCD of 378, 686, 982, 186 is 2

2. Where do I get the detailed procedure to find GCD of 378, 686, 982, 186?

You can find a detailed procedure to find GCD of 378, 686, 982, 186 on our page.

3. How to find GCD of 378, 686, 982, 186 on a calculator?

You can find the GCD of 378, 686, 982, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.