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 766, 984, 52, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 984, 52, 289 is 1
GCD(766, 984, 52, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 984, 52, 289 is 1
GCD(766, 984, 52, 289) = 1
Given Input numbers are 766, 984, 52, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
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
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 766, 984, 52, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 984, 52, 289 is 1.
Therefore, GCD of numbers 766, 984, 52, 289 is 1
Given Input Data is 766, 984, 52, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 289 is 17 x 17
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(766, 984) = 376872
GCD(766, 984) = ( 766 x 984 ) / 376872
GCD(766, 984) = 753744 / 376872
GCD(766, 984) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 52) = 52
GCD(2, 52) = ( 2 x 52 ) / 52
GCD(2, 52) = 104 / 52
GCD(2, 52) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
GCD(2, 289) = 578 / 578
GCD(2, 289) = 1
GCD of 766, 984, 52, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 984, 52, 289?
GCD of 766, 984, 52, 289 is 1
2. Where do I get the detailed procedure to find GCD of 766, 984, 52, 289?
You can find a detailed procedure to find GCD of 766, 984, 52, 289 on our page.
3. How to find GCD of 766, 984, 52, 289 on a calculator?
You can find the GCD of 766, 984, 52, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.