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, 722, 83, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 722, 83, 556 is 1
GCD(706, 722, 83, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 722, 83, 556 is 1
GCD(706, 722, 83, 556) = 1
Given Input numbers are 706, 722, 83, 556
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 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 706, 722, 83, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 722, 83, 556 is 1.
Therefore, GCD of numbers 706, 722, 83, 556 is 1
Given Input Data is 706, 722, 83, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 83 is 83
Prime Factorization of 556 is 2 x 2 x 139
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, 722) = 254866
GCD(706, 722) = ( 706 x 722 ) / 254866
GCD(706, 722) = 509732 / 254866
GCD(706, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 706, 722, 83, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 722, 83, 556?
GCD of 706, 722, 83, 556 is 1
2. Where do I get the detailed procedure to find GCD of 706, 722, 83, 556?
You can find a detailed procedure to find GCD of 706, 722, 83, 556 on our page.
3. How to find GCD of 706, 722, 83, 556 on a calculator?
You can find the GCD of 706, 722, 83, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.