GCD of 791, 196, 34, 912 Calculator

Given Input numbers are 791, 196, 34, 912

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 791, 196, 34, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 196, 34, 912 is 1.

Therefore, GCD of numbers 791, 196, 34, 912 is 1

Given Input Data is 791, 196, 34, 912

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 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(791, 196) = 22148

GCD(791, 196) = ( 791 x 196 ) / 22148

GCD(791, 196) = 155036 / 22148

GCD(791, 196) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 34

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

LCM(7, 34) = 238

GCD(7, 34) = ( 7 x 34 ) / 238

GCD(7, 34) = 238 / 238

GCD(7, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 791, 196, 34, 912 is 1

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1. What is the GCD of 791, 196, 34, 912?

GCD of 791, 196, 34, 912 is 1

2. Where do I get the detailed procedure to find GCD of 791, 196, 34, 912?

You can find a detailed procedure to find GCD of 791, 196, 34, 912 on our page.

3. How to find GCD of 791, 196, 34, 912 on a calculator?

You can find the GCD of 791, 196, 34, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.