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 822, 971, 918, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 971, 918, 436 is 1
GCD(822, 971, 918, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 971, 918, 436 is 1
GCD(822, 971, 918, 436) = 1
Given Input numbers are 822, 971, 918, 436
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 822, 971, 918, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 971, 918, 436 is 1.
Therefore, GCD of numbers 822, 971, 918, 436 is 1
Given Input Data is 822, 971, 918, 436
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 971 is 971
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 436 is 2 x 2 x 109
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(822, 971) = 798162
GCD(822, 971) = ( 822 x 971 ) / 798162
GCD(822, 971) = 798162 / 798162
GCD(822, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 822, 971, 918, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 971, 918, 436?
GCD of 822, 971, 918, 436 is 1
2. Where do I get the detailed procedure to find GCD of 822, 971, 918, 436?
You can find a detailed procedure to find GCD of 822, 971, 918, 436 on our page.
3. How to find GCD of 822, 971, 918, 436 on a calculator?
You can find the GCD of 822, 971, 918, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.