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, 370, 300, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 370, 300, 704 is 1
GCD(81, 370, 300, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 370, 300, 704 is 1
GCD(81, 370, 300, 704) = 1
Given Input numbers are 81, 370, 300, 704
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 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 81, 370, 300, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 370, 300, 704 is 1.
Therefore, GCD of numbers 81, 370, 300, 704 is 1
Given Input Data is 81, 370, 300, 704
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 370 is 2 x 5 x 37
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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, 370) = 29970
GCD(81, 370) = ( 81 x 370 ) / 29970
GCD(81, 370) = 29970 / 29970
GCD(81, 370) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 81, 370, 300, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 370, 300, 704?
GCD of 81, 370, 300, 704 is 1
2. Where do I get the detailed procedure to find GCD of 81, 370, 300, 704?
You can find a detailed procedure to find GCD of 81, 370, 300, 704 on our page.
3. How to find GCD of 81, 370, 300, 704 on a calculator?
You can find the GCD of 81, 370, 300, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.