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 996, 706, 704, 188 i.e. 2 largest integer that divides all the numbers equally.
GCD of 996, 706, 704, 188 is 2
GCD(996, 706, 704, 188) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 706, 704, 188 is 2
GCD(996, 706, 704, 188) = 2
Given Input numbers are 996, 706, 704, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 996, 706, 704, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 706, 704, 188 is 2.
Therefore, GCD of numbers 996, 706, 704, 188 is 2
Given Input Data is 996, 706, 704, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 706 is 2 x 353
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 188 is 2 x 2 x 47
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(996, 706) = 351588
GCD(996, 706) = ( 996 x 706 ) / 351588
GCD(996, 706) = 703176 / 351588
GCD(996, 706) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
GCD(2, 704) = 1408 / 704
GCD(2, 704) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 188) = 188
GCD(2, 188) = ( 2 x 188 ) / 188
GCD(2, 188) = 376 / 188
GCD(2, 188) = 2
GCD of 996, 706, 704, 188 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 706, 704, 188?
GCD of 996, 706, 704, 188 is 2
2. Where do I get the detailed procedure to find GCD of 996, 706, 704, 188?
You can find a detailed procedure to find GCD of 996, 706, 704, 188 on our page.
3. How to find GCD of 996, 706, 704, 188 on a calculator?
You can find the GCD of 996, 706, 704, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.