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 865, 275, 36, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 275, 36, 537 is 1
GCD(865, 275, 36, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 275, 36, 537 is 1
GCD(865, 275, 36, 537) = 1
Given Input numbers are 865, 275, 36, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 865, 275, 36, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 275, 36, 537 is 1.
Therefore, GCD of numbers 865, 275, 36, 537 is 1
Given Input Data is 865, 275, 36, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 36 is 2 x 2 x 3 x 3
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(865, 275) = 47575
GCD(865, 275) = ( 865 x 275 ) / 47575
GCD(865, 275) = 237875 / 47575
GCD(865, 275) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 36) = 180
GCD(5, 36) = ( 5 x 36 ) / 180
GCD(5, 36) = 180 / 180
GCD(5, 36) = 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 865, 275, 36, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 275, 36, 537?
GCD of 865, 275, 36, 537 is 1
2. Where do I get the detailed procedure to find GCD of 865, 275, 36, 537?
You can find a detailed procedure to find GCD of 865, 275, 36, 537 on our page.
3. How to find GCD of 865, 275, 36, 537 on a calculator?
You can find the GCD of 865, 275, 36, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.