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 614, 818, 824, 162 i.e. 2 largest integer that divides all the numbers equally.
GCD of 614, 818, 824, 162 is 2
GCD(614, 818, 824, 162) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 818, 824, 162 is 2
GCD(614, 818, 824, 162) = 2
Given Input numbers are 614, 818, 824, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 614, 818, 824, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 818, 824, 162 is 2.
Therefore, GCD of numbers 614, 818, 824, 162 is 2
Given Input Data is 614, 818, 824, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 818 is 2 x 409
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(614, 818) = 251126
GCD(614, 818) = ( 614 x 818 ) / 251126
GCD(614, 818) = 502252 / 251126
GCD(614, 818) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
GCD(2, 824) = 1648 / 824
GCD(2, 824) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
GCD(2, 162) = 324 / 162
GCD(2, 162) = 2
GCD of 614, 818, 824, 162 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 818, 824, 162?
GCD of 614, 818, 824, 162 is 2
2. Where do I get the detailed procedure to find GCD of 614, 818, 824, 162?
You can find a detailed procedure to find GCD of 614, 818, 824, 162 on our page.
3. How to find GCD of 614, 818, 824, 162 on a calculator?
You can find the GCD of 614, 818, 824, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.