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 764, 111, 136, 827 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 111, 136, 827 is 1
GCD(764, 111, 136, 827) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 111, 136, 827 is 1
GCD(764, 111, 136, 827) = 1
Given Input numbers are 764, 111, 136, 827
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Greatest Common Divisior
We found the divisors of 764, 111, 136, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 111, 136, 827 is 1.
Therefore, GCD of numbers 764, 111, 136, 827 is 1
Given Input Data is 764, 111, 136, 827
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 111 is 3 x 37
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 827 is 827
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(764, 111) = 84804
GCD(764, 111) = ( 764 x 111 ) / 84804
GCD(764, 111) = 84804 / 84804
GCD(764, 111) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 827
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 827) = 827
GCD(1, 827) = ( 1 x 827 ) / 827
GCD(1, 827) = 827 / 827
GCD(1, 827) = 1
GCD of 764, 111, 136, 827 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 111, 136, 827?
GCD of 764, 111, 136, 827 is 1
2. Where do I get the detailed procedure to find GCD of 764, 111, 136, 827?
You can find a detailed procedure to find GCD of 764, 111, 136, 827 on our page.
3. How to find GCD of 764, 111, 136, 827 on a calculator?
You can find the GCD of 764, 111, 136, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.