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 81, 363, 632, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 363, 632, 745 is 1
GCD(81, 363, 632, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 363, 632, 745 is 1
GCD(81, 363, 632, 745) = 1
Given Input numbers are 81, 363, 632, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 81, 363, 632, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 363, 632, 745 is 1.
Therefore, GCD of numbers 81, 363, 632, 745 is 1
Given Input Data is 81, 363, 632, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 745 is 5 x 149
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(81, 363) = 9801
GCD(81, 363) = ( 81 x 363 ) / 9801
GCD(81, 363) = 29403 / 9801
GCD(81, 363) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 632) = 1896
GCD(3, 632) = ( 3 x 632 ) / 1896
GCD(3, 632) = 1896 / 1896
GCD(3, 632) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 81, 363, 632, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 363, 632, 745?
GCD of 81, 363, 632, 745 is 1
2. Where do I get the detailed procedure to find GCD of 81, 363, 632, 745?
You can find a detailed procedure to find GCD of 81, 363, 632, 745 on our page.
3. How to find GCD of 81, 363, 632, 745 on a calculator?
You can find the GCD of 81, 363, 632, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.