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 804, 706, 87, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 804, 706, 87, 226 is 1
GCD(804, 706, 87, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 804, 706, 87, 226 is 1
GCD(804, 706, 87, 226) = 1
Given Input numbers are 804, 706, 87, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 804, 706, 87, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 706, 87, 226 is 1.
Therefore, GCD of numbers 804, 706, 87, 226 is 1
Given Input Data is 804, 706, 87, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 706 is 2 x 353
Prime Factorization of 87 is 3 x 29
Prime Factorization of 226 is 2 x 113
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(804, 706) = 283812
GCD(804, 706) = ( 804 x 706 ) / 283812
GCD(804, 706) = 567624 / 283812
GCD(804, 706) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 804, 706, 87, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 804, 706, 87, 226?
GCD of 804, 706, 87, 226 is 1
2. Where do I get the detailed procedure to find GCD of 804, 706, 87, 226?
You can find a detailed procedure to find GCD of 804, 706, 87, 226 on our page.
3. How to find GCD of 804, 706, 87, 226 on a calculator?
You can find the GCD of 804, 706, 87, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.