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 493, 648, 841, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 648, 841, 604 is 1
GCD(493, 648, 841, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 648, 841, 604 is 1
GCD(493, 648, 841, 604) = 1
Given Input numbers are 493, 648, 841, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
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
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 493, 648, 841, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 648, 841, 604 is 1.
Therefore, GCD of numbers 493, 648, 841, 604 is 1
Given Input Data is 493, 648, 841, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 841 is 29 x 29
Prime Factorization of 604 is 2 x 2 x 151
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(493, 648) = 319464
GCD(493, 648) = ( 493 x 648 ) / 319464
GCD(493, 648) = 319464 / 319464
GCD(493, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 493, 648, 841, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 648, 841, 604?
GCD of 493, 648, 841, 604 is 1
2. Where do I get the detailed procedure to find GCD of 493, 648, 841, 604?
You can find a detailed procedure to find GCD of 493, 648, 841, 604 on our page.
3. How to find GCD of 493, 648, 841, 604 on a calculator?
You can find the GCD of 493, 648, 841, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.