GCD of 986, 842, 376, 195 Calculator

Given Input numbers are 986, 842, 376, 195

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 986, 842, 376, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 842, 376, 195 is 1.

Therefore, GCD of numbers 986, 842, 376, 195 is 1

Given Input Data is 986, 842, 376, 195

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 842 is 2 x 421

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 195 is 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(986, 842) = 415106

GCD(986, 842) = ( 986 x 842 ) / 415106

GCD(986, 842) = 830212 / 415106

GCD(986, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 986, 842, 376, 195 is 1

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1. What is the GCD of 986, 842, 376, 195?

GCD of 986, 842, 376, 195 is 1

2. Where do I get the detailed procedure to find GCD of 986, 842, 376, 195?

You can find a detailed procedure to find GCD of 986, 842, 376, 195 on our page.

3. How to find GCD of 986, 842, 376, 195 on a calculator?

You can find the GCD of 986, 842, 376, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.