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 15, 614, 370, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 614, 370, 835 is 1
GCD(15, 614, 370, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 614, 370, 835 is 1
GCD(15, 614, 370, 835) = 1
Given Input numbers are 15, 614, 370, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 15, 614, 370, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 614, 370, 835 is 1.
Therefore, GCD of numbers 15, 614, 370, 835 is 1
Given Input Data is 15, 614, 370, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 614 is 2 x 307
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 835 is 5 x 167
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(15, 614) = 9210
GCD(15, 614) = ( 15 x 614 ) / 9210
GCD(15, 614) = 9210 / 9210
GCD(15, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 835) = 835
GCD(1, 835) = ( 1 x 835 ) / 835
GCD(1, 835) = 835 / 835
GCD(1, 835) = 1
GCD of 15, 614, 370, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 614, 370, 835?
GCD of 15, 614, 370, 835 is 1
2. Where do I get the detailed procedure to find GCD of 15, 614, 370, 835?
You can find a detailed procedure to find GCD of 15, 614, 370, 835 on our page.
3. How to find GCD of 15, 614, 370, 835 on a calculator?
You can find the GCD of 15, 614, 370, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.