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 63, 503, 448, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 503, 448, 648 is 1
GCD(63, 503, 448, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 503, 448, 648 is 1
GCD(63, 503, 448, 648) = 1
Given Input numbers are 63, 503, 448, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 63, 503, 448, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 503, 448, 648 is 1.
Therefore, GCD of numbers 63, 503, 448, 648 is 1
Given Input Data is 63, 503, 448, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 503 is 503
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(63, 503) = 31689
GCD(63, 503) = ( 63 x 503 ) / 31689
GCD(63, 503) = 31689 / 31689
GCD(63, 503) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 63, 503, 448, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 503, 448, 648?
GCD of 63, 503, 448, 648 is 1
2. Where do I get the detailed procedure to find GCD of 63, 503, 448, 648?
You can find a detailed procedure to find GCD of 63, 503, 448, 648 on our page.
3. How to find GCD of 63, 503, 448, 648 on a calculator?
You can find the GCD of 63, 503, 448, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.