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, 143, 65, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 143, 65, 799 is 1
GCD(614, 143, 65, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 143, 65, 799 is 1
GCD(614, 143, 65, 799) = 1
Given Input numbers are 614, 143, 65, 799
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 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 614, 143, 65, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 143, 65, 799 is 1.
Therefore, GCD of numbers 614, 143, 65, 799 is 1
Given Input Data is 614, 143, 65, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 143 is 11 x 13
Prime Factorization of 65 is 5 x 13
Prime Factorization of 799 is 17 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, 143) = 87802
GCD(614, 143) = ( 614 x 143 ) / 87802
GCD(614, 143) = 87802 / 87802
GCD(614, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 614, 143, 65, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 143, 65, 799?
GCD of 614, 143, 65, 799 is 1
2. Where do I get the detailed procedure to find GCD of 614, 143, 65, 799?
You can find a detailed procedure to find GCD of 614, 143, 65, 799 on our page.
3. How to find GCD of 614, 143, 65, 799 on a calculator?
You can find the GCD of 614, 143, 65, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.