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, 556, 116, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 556, 116, 537 is 1
GCD(764, 556, 116, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 556, 116, 537 is 1
GCD(764, 556, 116, 537) = 1
Given Input numbers are 764, 556, 116, 537
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 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 764, 556, 116, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 556, 116, 537 is 1.
Therefore, GCD of numbers 764, 556, 116, 537 is 1
Given Input Data is 764, 556, 116, 537
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 556 is 2 x 2 x 139
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 537 is 3 x 179
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, 556) = 106196
GCD(764, 556) = ( 764 x 556 ) / 106196
GCD(764, 556) = 424784 / 106196
GCD(764, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 116) = 116
GCD(4, 116) = ( 4 x 116 ) / 116
GCD(4, 116) = 464 / 116
GCD(4, 116) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 537) = 2148
GCD(4, 537) = ( 4 x 537 ) / 2148
GCD(4, 537) = 2148 / 2148
GCD(4, 537) = 1
GCD of 764, 556, 116, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 556, 116, 537?
GCD of 764, 556, 116, 537 is 1
2. Where do I get the detailed procedure to find GCD of 764, 556, 116, 537?
You can find a detailed procedure to find GCD of 764, 556, 116, 537 on our page.
3. How to find GCD of 764, 556, 116, 537 on a calculator?
You can find the GCD of 764, 556, 116, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.