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 607, 380, 17, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 607, 380, 17, 109 is 1
GCD(607, 380, 17, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 607, 380, 17, 109 is 1
GCD(607, 380, 17, 109) = 1
Given Input numbers are 607, 380, 17, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 607, 380, 17, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 607, 380, 17, 109 is 1.
Therefore, GCD of numbers 607, 380, 17, 109 is 1
Given Input Data is 607, 380, 17, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 607 is 607
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 17 is 17
Prime Factorization of 109 is 109
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(607, 380) = 230660
GCD(607, 380) = ( 607 x 380 ) / 230660
GCD(607, 380) = 230660 / 230660
GCD(607, 380) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 607, 380, 17, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 607, 380, 17, 109?
GCD of 607, 380, 17, 109 is 1
2. Where do I get the detailed procedure to find GCD of 607, 380, 17, 109?
You can find a detailed procedure to find GCD of 607, 380, 17, 109 on our page.
3. How to find GCD of 607, 380, 17, 109 on a calculator?
You can find the GCD of 607, 380, 17, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.