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, 176, 788, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 176, 788, 865 is 1
GCD(706, 176, 788, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 176, 788, 865 is 1
GCD(706, 176, 788, 865) = 1
Given Input numbers are 706, 176, 788, 865
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 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 706, 176, 788, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 176, 788, 865 is 1.
Therefore, GCD of numbers 706, 176, 788, 865 is 1
Given Input Data is 706, 176, 788, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 865 is 5 x 173
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, 176) = 62128
GCD(706, 176) = ( 706 x 176 ) / 62128
GCD(706, 176) = 124256 / 62128
GCD(706, 176) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 788) = 788
GCD(2, 788) = ( 2 x 788 ) / 788
GCD(2, 788) = 1576 / 788
GCD(2, 788) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 865) = 1730
GCD(2, 865) = ( 2 x 865 ) / 1730
GCD(2, 865) = 1730 / 1730
GCD(2, 865) = 1
GCD of 706, 176, 788, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 176, 788, 865?
GCD of 706, 176, 788, 865 is 1
2. Where do I get the detailed procedure to find GCD of 706, 176, 788, 865?
You can find a detailed procedure to find GCD of 706, 176, 788, 865 on our page.
3. How to find GCD of 706, 176, 788, 865 on a calculator?
You can find the GCD of 706, 176, 788, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.