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 917, 705, 21, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 917, 705, 21, 810 is 1
GCD(917, 705, 21, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 917, 705, 21, 810 is 1
GCD(917, 705, 21, 810) = 1
Given Input numbers are 917, 705, 21, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 917, 705, 21, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 705, 21, 810 is 1.
Therefore, GCD of numbers 917, 705, 21, 810 is 1
Given Input Data is 917, 705, 21, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 917 is 7 x 131
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 21 is 3 x 7
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(917, 705) = 646485
GCD(917, 705) = ( 917 x 705 ) / 646485
GCD(917, 705) = 646485 / 646485
GCD(917, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 917, 705, 21, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 917, 705, 21, 810?
GCD of 917, 705, 21, 810 is 1
2. Where do I get the detailed procedure to find GCD of 917, 705, 21, 810?
You can find a detailed procedure to find GCD of 917, 705, 21, 810 on our page.
3. How to find GCD of 917, 705, 21, 810 on a calculator?
You can find the GCD of 917, 705, 21, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.