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 537, 262, 353, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 537, 262, 353, 816 is 1
GCD(537, 262, 353, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 537, 262, 353, 816 is 1
GCD(537, 262, 353, 816) = 1
Given Input numbers are 537, 262, 353, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
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
Greatest Common Divisior
We found the divisors of 537, 262, 353, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 262, 353, 816 is 1.
Therefore, GCD of numbers 537, 262, 353, 816 is 1
Given Input Data is 537, 262, 353, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 537 is 3 x 179
Prime Factorization of 262 is 2 x 131
Prime Factorization of 353 is 353
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(537, 262) = 140694
GCD(537, 262) = ( 537 x 262 ) / 140694
GCD(537, 262) = 140694 / 140694
GCD(537, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 537, 262, 353, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 537, 262, 353, 816?
GCD of 537, 262, 353, 816 is 1
2. Where do I get the detailed procedure to find GCD of 537, 262, 353, 816?
You can find a detailed procedure to find GCD of 537, 262, 353, 816 on our page.
3. How to find GCD of 537, 262, 353, 816 on a calculator?
You can find the GCD of 537, 262, 353, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.