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 107, 856, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 856, 716 is 1
GCD(107, 856, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 856, 716 is 1
GCD(107, 856, 716) = 1
Given Input numbers are 107, 856, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 107, 856, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 856, 716 is 1.
Therefore, GCD of numbers 107, 856, 716 is 1
Given Input Data is 107, 856, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 716 is 2 x 2 x 179
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(107, 856) = 856
GCD(107, 856) = ( 107 x 856 ) / 856
GCD(107, 856) = 91592 / 856
GCD(107, 856) = 107
Step2:
Here we consider the GCD from the above i.e. 107 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(107, 716) = 76612
GCD(107, 716) = ( 107 x 716 ) / 76612
GCD(107, 716) = 76612 / 76612
GCD(107, 716) = 1
GCD of 107, 856, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 856, 716?
GCD of 107, 856, 716 is 1
2. Where do I get the detailed procedure to find GCD of 107, 856, 716?
You can find a detailed procedure to find GCD of 107, 856, 716 on our page.
3. How to find GCD of 107, 856, 716 on a calculator?
You can find the GCD of 107, 856, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.