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, 654, 425, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 503, 654, 425, 449 is 1
GCD(503, 654, 425, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 503, 654, 425, 449 is 1
GCD(503, 654, 425, 449) = 1
Given Input numbers are 503, 654, 425, 449
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 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 503, 654, 425, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 654, 425, 449 is 1.
Therefore, GCD of numbers 503, 654, 425, 449 is 1
Given Input Data is 503, 654, 425, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 503 is 503
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 449 is 449
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, 654) = 328962
GCD(503, 654) = ( 503 x 654 ) / 328962
GCD(503, 654) = 328962 / 328962
GCD(503, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 503, 654, 425, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 503, 654, 425, 449?
GCD of 503, 654, 425, 449 is 1
2. Where do I get the detailed procedure to find GCD of 503, 654, 425, 449?
You can find a detailed procedure to find GCD of 503, 654, 425, 449 on our page.
3. How to find GCD of 503, 654, 425, 449 on a calculator?
You can find the GCD of 503, 654, 425, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.