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 51, 345, 363, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 345, 363, 106 is 1
GCD(51, 345, 363, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 345, 363, 106 is 1
GCD(51, 345, 363, 106) = 1
Given Input numbers are 51, 345, 363, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 51, 345, 363, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 345, 363, 106 is 1.
Therefore, GCD of numbers 51, 345, 363, 106 is 1
Given Input Data is 51, 345, 363, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 106 is 2 x 53
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(51, 345) = 5865
GCD(51, 345) = ( 51 x 345 ) / 5865
GCD(51, 345) = 17595 / 5865
GCD(51, 345) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
GCD(3, 363) = 1089 / 363
GCD(3, 363) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 106) = 318
GCD(3, 106) = ( 3 x 106 ) / 318
GCD(3, 106) = 318 / 318
GCD(3, 106) = 1
GCD of 51, 345, 363, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 345, 363, 106?
GCD of 51, 345, 363, 106 is 1
2. Where do I get the detailed procedure to find GCD of 51, 345, 363, 106?
You can find a detailed procedure to find GCD of 51, 345, 363, 106 on our page.
3. How to find GCD of 51, 345, 363, 106 on a calculator?
You can find the GCD of 51, 345, 363, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.