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, 436, 96, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 436, 96, 653 is 1
GCD(822, 436, 96, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 436, 96, 653 is 1
GCD(822, 436, 96, 653) = 1
Given Input numbers are 822, 436, 96, 653
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 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 822, 436, 96, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 436, 96, 653 is 1.
Therefore, GCD of numbers 822, 436, 96, 653 is 1
Given Input Data is 822, 436, 96, 653
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 436 is 2 x 2 x 109
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 653 is 653
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, 436) = 179196
GCD(822, 436) = ( 822 x 436 ) / 179196
GCD(822, 436) = 358392 / 179196
GCD(822, 436) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
GCD(2, 653) = 1306 / 1306
GCD(2, 653) = 1
GCD of 822, 436, 96, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 436, 96, 653?
GCD of 822, 436, 96, 653 is 1
2. Where do I get the detailed procedure to find GCD of 822, 436, 96, 653?
You can find a detailed procedure to find GCD of 822, 436, 96, 653 on our page.
3. How to find GCD of 822, 436, 96, 653 on a calculator?
You can find the GCD of 822, 436, 96, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.