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 89, 695, 116, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 695, 116, 782 is 1
GCD(89, 695, 116, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 695, 116, 782 is 1
GCD(89, 695, 116, 782) = 1
Given Input numbers are 89, 695, 116, 782
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 89, 695, 116, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 695, 116, 782 is 1.
Therefore, GCD of numbers 89, 695, 116, 782 is 1
Given Input Data is 89, 695, 116, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 695 is 5 x 139
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 782 is 2 x 17 x 23
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(89, 695) = 61855
GCD(89, 695) = ( 89 x 695 ) / 61855
GCD(89, 695) = 61855 / 61855
GCD(89, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 89, 695, 116, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 695, 116, 782?
GCD of 89, 695, 116, 782 is 1
2. Where do I get the detailed procedure to find GCD of 89, 695, 116, 782?
You can find a detailed procedure to find GCD of 89, 695, 116, 782 on our page.
3. How to find GCD of 89, 695, 116, 782 on a calculator?
You can find the GCD of 89, 695, 116, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.