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 106, 926, 222, 835 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 926, 222, 835 is 1
GCD(106, 926, 222, 835) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 926, 222, 835 is 1
GCD(106, 926, 222, 835) = 1
Given Input numbers are 106, 926, 222, 835
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Greatest Common Divisior
We found the divisors of 106, 926, 222, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 926, 222, 835 is 1.
Therefore, GCD of numbers 106, 926, 222, 835 is 1
Given Input Data is 106, 926, 222, 835
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 926 is 2 x 463
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 835 is 5 x 167
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(106, 926) = 49078
GCD(106, 926) = ( 106 x 926 ) / 49078
GCD(106, 926) = 98156 / 49078
GCD(106, 926) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 222) = 222
GCD(2, 222) = ( 2 x 222 ) / 222
GCD(2, 222) = 444 / 222
GCD(2, 222) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 835) = 1670
GCD(2, 835) = ( 2 x 835 ) / 1670
GCD(2, 835) = 1670 / 1670
GCD(2, 835) = 1
GCD of 106, 926, 222, 835 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 926, 222, 835?
GCD of 106, 926, 222, 835 is 1
2. Where do I get the detailed procedure to find GCD of 106, 926, 222, 835?
You can find a detailed procedure to find GCD of 106, 926, 222, 835 on our page.
3. How to find GCD of 106, 926, 222, 835 on a calculator?
You can find the GCD of 106, 926, 222, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.