GCD of 798, 122, 949, 956 Calculator

Given Input numbers are 798, 122, 949, 956

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

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 798, 122, 949, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 122, 949, 956 is 1.

Therefore, GCD of numbers 798, 122, 949, 956 is 1

Given Input Data is 798, 122, 949, 956

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

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 949 is 13 x 73

Prime Factorization of 956 is 2 x 2 x 239

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(798, 122) = 48678

GCD(798, 122) = ( 798 x 122 ) / 48678

GCD(798, 122) = 97356 / 48678

GCD(798, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 798, 122, 949, 956 is 1

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1. What is the GCD of 798, 122, 949, 956?

GCD of 798, 122, 949, 956 is 1

2. Where do I get the detailed procedure to find GCD of 798, 122, 949, 956?

You can find a detailed procedure to find GCD of 798, 122, 949, 956 on our page.

3. How to find GCD of 798, 122, 949, 956 on a calculator?

You can find the GCD of 798, 122, 949, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.