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, 693, 55, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 693, 55, 905 is 1
GCD(503, 693, 55, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 693, 55, 905 is 1
GCD(503, 693, 55, 905) = 1
Given Input numbers are 503, 693, 55, 905
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 503, 693, 55, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 693, 55, 905 is 1.
Therefore, GCD of numbers 503, 693, 55, 905 is 1
Given Input Data is 503, 693, 55, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 55 is 5 x 11
Prime Factorization of 905 is 5 x 181
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, 693) = 348579
GCD(503, 693) = ( 503 x 693 ) / 348579
GCD(503, 693) = 348579 / 348579
GCD(503, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 503, 693, 55, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 693, 55, 905?
GCD of 503, 693, 55, 905 is 1
2. Where do I get the detailed procedure to find GCD of 503, 693, 55, 905?
You can find a detailed procedure to find GCD of 503, 693, 55, 905 on our page.
3. How to find GCD of 503, 693, 55, 905 on a calculator?
You can find the GCD of 503, 693, 55, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.