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 768, 752, 81, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 752, 81, 466 is 1
GCD(768, 752, 81, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 752, 81, 466 is 1
GCD(768, 752, 81, 466) = 1
Given Input numbers are 768, 752, 81, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 768, 752, 81, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 752, 81, 466 is 1.
Therefore, GCD of numbers 768, 752, 81, 466 is 1
Given Input Data is 768, 752, 81, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 466 is 2 x 233
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(768, 752) = 36096
GCD(768, 752) = ( 768 x 752 ) / 36096
GCD(768, 752) = 577536 / 36096
GCD(768, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 81) = 1296
GCD(16, 81) = ( 16 x 81 ) / 1296
GCD(16, 81) = 1296 / 1296
GCD(16, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 768, 752, 81, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 752, 81, 466?
GCD of 768, 752, 81, 466 is 1
2. Where do I get the detailed procedure to find GCD of 768, 752, 81, 466?
You can find a detailed procedure to find GCD of 768, 752, 81, 466 on our page.
3. How to find GCD of 768, 752, 81, 466 on a calculator?
You can find the GCD of 768, 752, 81, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.