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 514, 853, 12, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 514, 853, 12, 536 is 1
GCD(514, 853, 12, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 514, 853, 12, 536 is 1
GCD(514, 853, 12, 536) = 1
Given Input numbers are 514, 853, 12, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 514, 853, 12, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 853, 12, 536 is 1.
Therefore, GCD of numbers 514, 853, 12, 536 is 1
Given Input Data is 514, 853, 12, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 514 is 2 x 257
Prime Factorization of 853 is 853
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 536 is 2 x 2 x 2 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(514, 853) = 438442
GCD(514, 853) = ( 514 x 853 ) / 438442
GCD(514, 853) = 438442 / 438442
GCD(514, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 514, 853, 12, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 514, 853, 12, 536?
GCD of 514, 853, 12, 536 is 1
2. Where do I get the detailed procedure to find GCD of 514, 853, 12, 536?
You can find a detailed procedure to find GCD of 514, 853, 12, 536 on our page.
3. How to find GCD of 514, 853, 12, 536 on a calculator?
You can find the GCD of 514, 853, 12, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.