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 76, 808, 237, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 76, 808, 237, 537 is 1
GCD(76, 808, 237, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 76, 808, 237, 537 is 1
GCD(76, 808, 237, 537) = 1
Given Input numbers are 76, 808, 237, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 76, 808, 237, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 808, 237, 537 is 1.
Therefore, GCD of numbers 76, 808, 237, 537 is 1
Given Input Data is 76, 808, 237, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 237 is 3 x 79
Prime Factorization of 537 is 3 x 179
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(76, 808) = 15352
GCD(76, 808) = ( 76 x 808 ) / 15352
GCD(76, 808) = 61408 / 15352
GCD(76, 808) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 237) = 948
GCD(4, 237) = ( 4 x 237 ) / 948
GCD(4, 237) = 948 / 948
GCD(4, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 76, 808, 237, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 76, 808, 237, 537?
GCD of 76, 808, 237, 537 is 1
2. Where do I get the detailed procedure to find GCD of 76, 808, 237, 537?
You can find a detailed procedure to find GCD of 76, 808, 237, 537 on our page.
3. How to find GCD of 76, 808, 237, 537 on a calculator?
You can find the GCD of 76, 808, 237, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.