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, 220, 99, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 220, 99, 118 is 1
GCD(822, 220, 99, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 220, 99, 118 is 1
GCD(822, 220, 99, 118) = 1
Given Input numbers are 822, 220, 99, 118
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 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 822, 220, 99, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 220, 99, 118 is 1.
Therefore, GCD of numbers 822, 220, 99, 118 is 1
Given Input Data is 822, 220, 99, 118
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 220 is 2 x 2 x 5 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 118 is 2 x 59
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, 220) = 90420
GCD(822, 220) = ( 822 x 220 ) / 90420
GCD(822, 220) = 180840 / 90420
GCD(822, 220) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 822, 220, 99, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 220, 99, 118?
GCD of 822, 220, 99, 118 is 1
2. Where do I get the detailed procedure to find GCD of 822, 220, 99, 118?
You can find a detailed procedure to find GCD of 822, 220, 99, 118 on our page.
3. How to find GCD of 822, 220, 99, 118 on a calculator?
You can find the GCD of 822, 220, 99, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.