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 503, 986, 697, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 986, 697, 264 is 1
GCD(503, 986, 697, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 986, 697, 264 is 1
GCD(503, 986, 697, 264) = 1
Given Input numbers are 503, 986, 697, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 503, 986, 697, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 986, 697, 264 is 1.
Therefore, GCD of numbers 503, 986, 697, 264 is 1
Given Input Data is 503, 986, 697, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 697 is 17 x 41
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(503, 986) = 495958
GCD(503, 986) = ( 503 x 986 ) / 495958
GCD(503, 986) = 495958 / 495958
GCD(503, 986) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 503, 986, 697, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 986, 697, 264?
GCD of 503, 986, 697, 264 is 1
2. Where do I get the detailed procedure to find GCD of 503, 986, 697, 264?
You can find a detailed procedure to find GCD of 503, 986, 697, 264 on our page.
3. How to find GCD of 503, 986, 697, 264 on a calculator?
You can find the GCD of 503, 986, 697, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.