Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 706, 337, 22, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 337, 22, 799 is 1
GCD(706, 337, 22, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 337, 22, 799 is 1
GCD(706, 337, 22, 799) = 1
Given Input numbers are 706, 337, 22, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 706, 337, 22, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 337, 22, 799 is 1.
Therefore, GCD of numbers 706, 337, 22, 799 is 1
Given Input Data is 706, 337, 22, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 337 is 337
Prime Factorization of 22 is 2 x 11
Prime Factorization of 799 is 17 x 47
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(706, 337) = 237922
GCD(706, 337) = ( 706 x 337 ) / 237922
GCD(706, 337) = 237922 / 237922
GCD(706, 337) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 22) = 22
GCD(1, 22) = ( 1 x 22 ) / 22
GCD(1, 22) = 22 / 22
GCD(1, 22) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 706, 337, 22, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 337, 22, 799?
GCD of 706, 337, 22, 799 is 1
2. Where do I get the detailed procedure to find GCD of 706, 337, 22, 799?
You can find a detailed procedure to find GCD of 706, 337, 22, 799 on our page.
3. How to find GCD of 706, 337, 22, 799 on a calculator?
You can find the GCD of 706, 337, 22, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.