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 574, 732, 81, 316 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 732, 81, 316 is 1
GCD(574, 732, 81, 316) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 732, 81, 316 is 1
GCD(574, 732, 81, 316) = 1
Given Input numbers are 574, 732, 81, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 574, 732, 81, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 732, 81, 316 is 1.
Therefore, GCD of numbers 574, 732, 81, 316 is 1
Given Input Data is 574, 732, 81, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 316 is 2 x 2 x 79
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(574, 732) = 210084
GCD(574, 732) = ( 574 x 732 ) / 210084
GCD(574, 732) = 420168 / 210084
GCD(574, 732) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
GCD of 574, 732, 81, 316 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 732, 81, 316?
GCD of 574, 732, 81, 316 is 1
2. Where do I get the detailed procedure to find GCD of 574, 732, 81, 316?
You can find a detailed procedure to find GCD of 574, 732, 81, 316 on our page.
3. How to find GCD of 574, 732, 81, 316 on a calculator?
You can find the GCD of 574, 732, 81, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.