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 787, 417, 676, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 417, 676, 107 is 1
GCD(787, 417, 676, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 417, 676, 107 is 1
GCD(787, 417, 676, 107) = 1
Given Input numbers are 787, 417, 676, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 787, 417, 676, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 417, 676, 107 is 1.
Therefore, GCD of numbers 787, 417, 676, 107 is 1
Given Input Data is 787, 417, 676, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 417 is 3 x 139
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 107 is 107
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(787, 417) = 328179
GCD(787, 417) = ( 787 x 417 ) / 328179
GCD(787, 417) = 328179 / 328179
GCD(787, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 787, 417, 676, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 417, 676, 107?
GCD of 787, 417, 676, 107 is 1
2. Where do I get the detailed procedure to find GCD of 787, 417, 676, 107?
You can find a detailed procedure to find GCD of 787, 417, 676, 107 on our page.
3. How to find GCD of 787, 417, 676, 107 on a calculator?
You can find the GCD of 787, 417, 676, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.