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 168, 222, 744, 832 i.e. 2 largest integer that divides all the numbers equally.
GCD of 168, 222, 744, 832 is 2
GCD(168, 222, 744, 832) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 222, 744, 832 is 2
GCD(168, 222, 744, 832) = 2
Given Input numbers are 168, 222, 744, 832
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Greatest Common Divisior
We found the divisors of 168, 222, 744, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 222, 744, 832 is 2.
Therefore, GCD of numbers 168, 222, 744, 832 is 2
Given Input Data is 168, 222, 744, 832
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(168, 222) = 6216
GCD(168, 222) = ( 168 x 222 ) / 6216
GCD(168, 222) = 37296 / 6216
GCD(168, 222) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 744) = 744
GCD(6, 744) = ( 6 x 744 ) / 744
GCD(6, 744) = 4464 / 744
GCD(6, 744) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 832) = 2496
GCD(6, 832) = ( 6 x 832 ) / 2496
GCD(6, 832) = 4992 / 2496
GCD(6, 832) = 2
GCD of 168, 222, 744, 832 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 222, 744, 832?
GCD of 168, 222, 744, 832 is 2
2. Where do I get the detailed procedure to find GCD of 168, 222, 744, 832?
You can find a detailed procedure to find GCD of 168, 222, 744, 832 on our page.
3. How to find GCD of 168, 222, 744, 832 on a calculator?
You can find the GCD of 168, 222, 744, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.