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 966, 511, 255, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 511, 255, 613 is 1
GCD(966, 511, 255, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 511, 255, 613 is 1
GCD(966, 511, 255, 613) = 1
Given Input numbers are 966, 511, 255, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 966, 511, 255, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 511, 255, 613 is 1.
Therefore, GCD of numbers 966, 511, 255, 613 is 1
Given Input Data is 966, 511, 255, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 511 is 7 x 73
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 613 is 613
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(966, 511) = 70518
GCD(966, 511) = ( 966 x 511 ) / 70518
GCD(966, 511) = 493626 / 70518
GCD(966, 511) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 255) = 1785
GCD(7, 255) = ( 7 x 255 ) / 1785
GCD(7, 255) = 1785 / 1785
GCD(7, 255) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 966, 511, 255, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 511, 255, 613?
GCD of 966, 511, 255, 613 is 1
2. Where do I get the detailed procedure to find GCD of 966, 511, 255, 613?
You can find a detailed procedure to find GCD of 966, 511, 255, 613 on our page.
3. How to find GCD of 966, 511, 255, 613 on a calculator?
You can find the GCD of 966, 511, 255, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.