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 696, 712, 43, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 712, 43, 816 is 1
GCD(696, 712, 43, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 712, 43, 816 is 1
GCD(696, 712, 43, 816) = 1
Given Input numbers are 696, 712, 43, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 696, 712, 43, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 712, 43, 816 is 1.
Therefore, GCD of numbers 696, 712, 43, 816 is 1
Given Input Data is 696, 712, 43, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 43 is 43
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(696, 712) = 61944
GCD(696, 712) = ( 696 x 712 ) / 61944
GCD(696, 712) = 495552 / 61944
GCD(696, 712) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 43) = 344
GCD(8, 43) = ( 8 x 43 ) / 344
GCD(8, 43) = 344 / 344
GCD(8, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 696, 712, 43, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 712, 43, 816?
GCD of 696, 712, 43, 816 is 1
2. Where do I get the detailed procedure to find GCD of 696, 712, 43, 816?
You can find a detailed procedure to find GCD of 696, 712, 43, 816 on our page.
3. How to find GCD of 696, 712, 43, 816 on a calculator?
You can find the GCD of 696, 712, 43, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.