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 816, 352, 69, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 352, 69, 665 is 1
GCD(816, 352, 69, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 352, 69, 665 is 1
GCD(816, 352, 69, 665) = 1
Given Input numbers are 816, 352, 69, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 816, 352, 69, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 352, 69, 665 is 1.
Therefore, GCD of numbers 816, 352, 69, 665 is 1
Given Input Data is 816, 352, 69, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 69 is 3 x 23
Prime Factorization of 665 is 5 x 7 x 19
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(816, 352) = 17952
GCD(816, 352) = ( 816 x 352 ) / 17952
GCD(816, 352) = 287232 / 17952
GCD(816, 352) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 69) = 1104
GCD(16, 69) = ( 16 x 69 ) / 1104
GCD(16, 69) = 1104 / 1104
GCD(16, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 816, 352, 69, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 352, 69, 665?
GCD of 816, 352, 69, 665 is 1
2. Where do I get the detailed procedure to find GCD of 816, 352, 69, 665?
You can find a detailed procedure to find GCD of 816, 352, 69, 665 on our page.
3. How to find GCD of 816, 352, 69, 665 on a calculator?
You can find the GCD of 816, 352, 69, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.