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 727, 760, 234, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 727, 760, 234, 984 is 1
GCD(727, 760, 234, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 727, 760, 234, 984 is 1
GCD(727, 760, 234, 984) = 1
Given Input numbers are 727, 760, 234, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 727, 760, 234, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 760, 234, 984 is 1.
Therefore, GCD of numbers 727, 760, 234, 984 is 1
Given Input Data is 727, 760, 234, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 727 is 727
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(727, 760) = 552520
GCD(727, 760) = ( 727 x 760 ) / 552520
GCD(727, 760) = 552520 / 552520
GCD(727, 760) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 727, 760, 234, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 727, 760, 234, 984?
GCD of 727, 760, 234, 984 is 1
2. Where do I get the detailed procedure to find GCD of 727, 760, 234, 984?
You can find a detailed procedure to find GCD of 727, 760, 234, 984 on our page.
3. How to find GCD of 727, 760, 234, 984 on a calculator?
You can find the GCD of 727, 760, 234, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.