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 512, 932, 66, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 512, 932, 66, 465 is 1
GCD(512, 932, 66, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 932, 66, 465 is 1
GCD(512, 932, 66, 465) = 1
Given Input numbers are 512, 932, 66, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 512, 932, 66, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 932, 66, 465 is 1.
Therefore, GCD of numbers 512, 932, 66, 465 is 1
Given Input Data is 512, 932, 66, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 465 is 3 x 5 x 31
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(512, 932) = 119296
GCD(512, 932) = ( 512 x 932 ) / 119296
GCD(512, 932) = 477184 / 119296
GCD(512, 932) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 66) = 132
GCD(4, 66) = ( 4 x 66 ) / 132
GCD(4, 66) = 264 / 132
GCD(4, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
GCD(2, 465) = 930 / 930
GCD(2, 465) = 1
GCD of 512, 932, 66, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 932, 66, 465?
GCD of 512, 932, 66, 465 is 1
2. Where do I get the detailed procedure to find GCD of 512, 932, 66, 465?
You can find a detailed procedure to find GCD of 512, 932, 66, 465 on our page.
3. How to find GCD of 512, 932, 66, 465 on a calculator?
You can find the GCD of 512, 932, 66, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.