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, 766, 87, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 766, 87, 335 is 1
GCD(816, 766, 87, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 766, 87, 335 is 1
GCD(816, 766, 87, 335) = 1
Given Input numbers are 816, 766, 87, 335
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 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 816, 766, 87, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 766, 87, 335 is 1.
Therefore, GCD of numbers 816, 766, 87, 335 is 1
Given Input Data is 816, 766, 87, 335
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 766 is 2 x 383
Prime Factorization of 87 is 3 x 29
Prime Factorization of 335 is 5 x 67
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, 766) = 312528
GCD(816, 766) = ( 816 x 766 ) / 312528
GCD(816, 766) = 625056 / 312528
GCD(816, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 816, 766, 87, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 766, 87, 335?
GCD of 816, 766, 87, 335 is 1
2. Where do I get the detailed procedure to find GCD of 816, 766, 87, 335?
You can find a detailed procedure to find GCD of 816, 766, 87, 335 on our page.
3. How to find GCD of 816, 766, 87, 335 on a calculator?
You can find the GCD of 816, 766, 87, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.