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 511, 965, 12, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 965, 12, 318 is 1
GCD(511, 965, 12, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 965, 12, 318 is 1
GCD(511, 965, 12, 318) = 1
Given Input numbers are 511, 965, 12, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 511, 965, 12, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 965, 12, 318 is 1.
Therefore, GCD of numbers 511, 965, 12, 318 is 1
Given Input Data is 511, 965, 12, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 965 is 5 x 193
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 318 is 2 x 3 x 53
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(511, 965) = 493115
GCD(511, 965) = ( 511 x 965 ) / 493115
GCD(511, 965) = 493115 / 493115
GCD(511, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 511, 965, 12, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 965, 12, 318?
GCD of 511, 965, 12, 318 is 1
2. Where do I get the detailed procedure to find GCD of 511, 965, 12, 318?
You can find a detailed procedure to find GCD of 511, 965, 12, 318 on our page.
3. How to find GCD of 511, 965, 12, 318 on a calculator?
You can find the GCD of 511, 965, 12, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.