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 67, 727, 831, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 727, 831, 135 is 1
GCD(67, 727, 831, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 727, 831, 135 is 1
GCD(67, 727, 831, 135) = 1
Given Input numbers are 67, 727, 831, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 67, 727, 831, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 727, 831, 135 is 1.
Therefore, GCD of numbers 67, 727, 831, 135 is 1
Given Input Data is 67, 727, 831, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 727 is 727
Prime Factorization of 831 is 3 x 277
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(67, 727) = 48709
GCD(67, 727) = ( 67 x 727 ) / 48709
GCD(67, 727) = 48709 / 48709
GCD(67, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 67, 727, 831, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 727, 831, 135?
GCD of 67, 727, 831, 135 is 1
2. Where do I get the detailed procedure to find GCD of 67, 727, 831, 135?
You can find a detailed procedure to find GCD of 67, 727, 831, 135 on our page.
3. How to find GCD of 67, 727, 831, 135 on a calculator?
You can find the GCD of 67, 727, 831, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.