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 451, 748, 32, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 451, 748, 32, 327 is 1
GCD(451, 748, 32, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 451, 748, 32, 327 is 1
GCD(451, 748, 32, 327) = 1
Given Input numbers are 451, 748, 32, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 451, 748, 32, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 748, 32, 327 is 1.
Therefore, GCD of numbers 451, 748, 32, 327 is 1
Given Input Data is 451, 748, 32, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 451 is 11 x 41
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 327 is 3 x 109
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(451, 748) = 30668
GCD(451, 748) = ( 451 x 748 ) / 30668
GCD(451, 748) = 337348 / 30668
GCD(451, 748) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 32) = 352
GCD(11, 32) = ( 11 x 32 ) / 352
GCD(11, 32) = 352 / 352
GCD(11, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 327) = 327
GCD(1, 327) = ( 1 x 327 ) / 327
GCD(1, 327) = 327 / 327
GCD(1, 327) = 1
GCD of 451, 748, 32, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 451, 748, 32, 327?
GCD of 451, 748, 32, 327 is 1
2. Where do I get the detailed procedure to find GCD of 451, 748, 32, 327?
You can find a detailed procedure to find GCD of 451, 748, 32, 327 on our page.
3. How to find GCD of 451, 748, 32, 327 on a calculator?
You can find the GCD of 451, 748, 32, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.