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, 332, 11, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 511, 332, 11, 270 is 1
GCD(511, 332, 11, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 511, 332, 11, 270 is 1
GCD(511, 332, 11, 270) = 1
Given Input numbers are 511, 332, 11, 270
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 511, 332, 11, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 511, 332, 11, 270 is 1.
Therefore, GCD of numbers 511, 332, 11, 270 is 1
Given Input Data is 511, 332, 11, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 511 is 7 x 73
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 11 is 11
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 332) = 169652
GCD(511, 332) = ( 511 x 332 ) / 169652
GCD(511, 332) = 169652 / 169652
GCD(511, 332) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 511, 332, 11, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 511, 332, 11, 270?
GCD of 511, 332, 11, 270 is 1
2. Where do I get the detailed procedure to find GCD of 511, 332, 11, 270?
You can find a detailed procedure to find GCD of 511, 332, 11, 270 on our page.
3. How to find GCD of 511, 332, 11, 270 on a calculator?
You can find the GCD of 511, 332, 11, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.