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 106, 773, 15, 854 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 773, 15, 854 is 1
GCD(106, 773, 15, 854) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 773, 15, 854 is 1
GCD(106, 773, 15, 854) = 1
Given Input numbers are 106, 773, 15, 854
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Greatest Common Divisior
We found the divisors of 106, 773, 15, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 773, 15, 854 is 1.
Therefore, GCD of numbers 106, 773, 15, 854 is 1
Given Input Data is 106, 773, 15, 854
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 773 is 773
Prime Factorization of 15 is 3 x 5
Prime Factorization of 854 is 2 x 7 x 61
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(106, 773) = 81938
GCD(106, 773) = ( 106 x 773 ) / 81938
GCD(106, 773) = 81938 / 81938
GCD(106, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
GCD of 106, 773, 15, 854 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 773, 15, 854?
GCD of 106, 773, 15, 854 is 1
2. Where do I get the detailed procedure to find GCD of 106, 773, 15, 854?
You can find a detailed procedure to find GCD of 106, 773, 15, 854 on our page.
3. How to find GCD of 106, 773, 15, 854 on a calculator?
You can find the GCD of 106, 773, 15, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.