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 614, 860, 713, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 860, 713, 235 is 1
GCD(614, 860, 713, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 860, 713, 235 is 1
GCD(614, 860, 713, 235) = 1
Given Input numbers are 614, 860, 713, 235
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 614, 860, 713, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 860, 713, 235 is 1.
Therefore, GCD of numbers 614, 860, 713, 235 is 1
Given Input Data is 614, 860, 713, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 713 is 23 x 31
Prime Factorization of 235 is 5 x 47
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(614, 860) = 264020
GCD(614, 860) = ( 614 x 860 ) / 264020
GCD(614, 860) = 528040 / 264020
GCD(614, 860) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 614, 860, 713, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 860, 713, 235?
GCD of 614, 860, 713, 235 is 1
2. Where do I get the detailed procedure to find GCD of 614, 860, 713, 235?
You can find a detailed procedure to find GCD of 614, 860, 713, 235 on our page.
3. How to find GCD of 614, 860, 713, 235 on a calculator?
You can find the GCD of 614, 860, 713, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.