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, 521, 77, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 816, 521, 77, 302 is 1
GCD(816, 521, 77, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 816, 521, 77, 302 is 1
GCD(816, 521, 77, 302) = 1
Given Input numbers are 816, 521, 77, 302
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 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 816, 521, 77, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 521, 77, 302 is 1.
Therefore, GCD of numbers 816, 521, 77, 302 is 1
Given Input Data is 816, 521, 77, 302
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 521 is 521
Prime Factorization of 77 is 7 x 11
Prime Factorization of 302 is 2 x 151
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, 521) = 425136
GCD(816, 521) = ( 816 x 521 ) / 425136
GCD(816, 521) = 425136 / 425136
GCD(816, 521) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 816, 521, 77, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 816, 521, 77, 302?
GCD of 816, 521, 77, 302 is 1
2. Where do I get the detailed procedure to find GCD of 816, 521, 77, 302?
You can find a detailed procedure to find GCD of 816, 521, 77, 302 on our page.
3. How to find GCD of 816, 521, 77, 302 on a calculator?
You can find the GCD of 816, 521, 77, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.