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, 645, 73, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 645, 73, 390 is 1
GCD(107, 645, 73, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 645, 73, 390 is 1
GCD(107, 645, 73, 390) = 1
Given Input numbers are 107, 645, 73, 390
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 107, 645, 73, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 645, 73, 390 is 1.
Therefore, GCD of numbers 107, 645, 73, 390 is 1
Given Input Data is 107, 645, 73, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 73 is 73
Prime Factorization of 390 is 2 x 3 x 5 x 13
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, 645) = 69015
GCD(107, 645) = ( 107 x 645 ) / 69015
GCD(107, 645) = 69015 / 69015
GCD(107, 645) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 107, 645, 73, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 645, 73, 390?
GCD of 107, 645, 73, 390 is 1
2. Where do I get the detailed procedure to find GCD of 107, 645, 73, 390?
You can find a detailed procedure to find GCD of 107, 645, 73, 390 on our page.
3. How to find GCD of 107, 645, 73, 390 on a calculator?
You can find the GCD of 107, 645, 73, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.