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 27, 707, 922, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 27, 707, 922, 812 is 1
GCD(27, 707, 922, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 27, 707, 922, 812 is 1
GCD(27, 707, 922, 812) = 1
Given Input numbers are 27, 707, 922, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
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
Greatest Common Divisior
We found the divisors of 27, 707, 922, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 707, 922, 812 is 1.
Therefore, GCD of numbers 27, 707, 922, 812 is 1
Given Input Data is 27, 707, 922, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 707 is 7 x 101
Prime Factorization of 922 is 2 x 461
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(27, 707) = 19089
GCD(27, 707) = ( 27 x 707 ) / 19089
GCD(27, 707) = 19089 / 19089
GCD(27, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 27, 707, 922, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 27, 707, 922, 812?
GCD of 27, 707, 922, 812 is 1
2. Where do I get the detailed procedure to find GCD of 27, 707, 922, 812?
You can find a detailed procedure to find GCD of 27, 707, 922, 812 on our page.
3. How to find GCD of 27, 707, 922, 812 on a calculator?
You can find the GCD of 27, 707, 922, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.