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 469, 498, 47, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 469, 498, 47, 648 is 1
GCD(469, 498, 47, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 469, 498, 47, 648 is 1
GCD(469, 498, 47, 648) = 1
Given Input numbers are 469, 498, 47, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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 469, 498, 47, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 498, 47, 648 is 1.
Therefore, GCD of numbers 469, 498, 47, 648 is 1
Given Input Data is 469, 498, 47, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 469 is 7 x 67
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 47 is 47
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(469, 498) = 233562
GCD(469, 498) = ( 469 x 498 ) / 233562
GCD(469, 498) = 233562 / 233562
GCD(469, 498) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 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 469, 498, 47, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 469, 498, 47, 648?
GCD of 469, 498, 47, 648 is 1
2. Where do I get the detailed procedure to find GCD of 469, 498, 47, 648?
You can find a detailed procedure to find GCD of 469, 498, 47, 648 on our page.
3. How to find GCD of 469, 498, 47, 648 on a calculator?
You can find the GCD of 469, 498, 47, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.