GCD of 394, 976, 95, 798 Calculator

Given Input numbers are 394, 976, 95, 798

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 394, 976, 95, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 976, 95, 798 is 1.

Therefore, GCD of numbers 394, 976, 95, 798 is 1

Given Input Data is 394, 976, 95, 798

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 95 is 5 x 19

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(394, 976) = 192272

GCD(394, 976) = ( 394 x 976 ) / 192272

GCD(394, 976) = 384544 / 192272

GCD(394, 976) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 394, 976, 95, 798 is 1

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1. What is the GCD of 394, 976, 95, 798?

GCD of 394, 976, 95, 798 is 1

2. Where do I get the detailed procedure to find GCD of 394, 976, 95, 798?

You can find a detailed procedure to find GCD of 394, 976, 95, 798 on our page.

3. How to find GCD of 394, 976, 95, 798 on a calculator?

You can find the GCD of 394, 976, 95, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.