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 812, 694, 81, 830 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 694, 81, 830 is 1
GCD(812, 694, 81, 830) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 694, 81, 830 is 1
GCD(812, 694, 81, 830) = 1
Given Input numbers are 812, 694, 81, 830
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Greatest Common Divisior
We found the divisors of 812, 694, 81, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 694, 81, 830 is 1.
Therefore, GCD of numbers 812, 694, 81, 830 is 1
Given Input Data is 812, 694, 81, 830
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 694 is 2 x 347
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 830 is 2 x 5 x 83
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(812, 694) = 281764
GCD(812, 694) = ( 812 x 694 ) / 281764
GCD(812, 694) = 563528 / 281764
GCD(812, 694) = 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 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 830) = 830
GCD(1, 830) = ( 1 x 830 ) / 830
GCD(1, 830) = 830 / 830
GCD(1, 830) = 1
GCD of 812, 694, 81, 830 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 694, 81, 830?
GCD of 812, 694, 81, 830 is 1
2. Where do I get the detailed procedure to find GCD of 812, 694, 81, 830?
You can find a detailed procedure to find GCD of 812, 694, 81, 830 on our page.
3. How to find GCD of 812, 694, 81, 830 on a calculator?
You can find the GCD of 812, 694, 81, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.