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 324, 386, 54, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 386, 54, 497 is 1
GCD(324, 386, 54, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 386, 54, 497 is 1
GCD(324, 386, 54, 497) = 1
Given Input numbers are 324, 386, 54, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 324, 386, 54, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 386, 54, 497 is 1.
Therefore, GCD of numbers 324, 386, 54, 497 is 1
Given Input Data is 324, 386, 54, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 386 is 2 x 193
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 497 is 7 x 71
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(324, 386) = 62532
GCD(324, 386) = ( 324 x 386 ) / 62532
GCD(324, 386) = 125064 / 62532
GCD(324, 386) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
GCD(2, 497) = 994 / 994
GCD(2, 497) = 1
GCD of 324, 386, 54, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 386, 54, 497?
GCD of 324, 386, 54, 497 is 1
2. Where do I get the detailed procedure to find GCD of 324, 386, 54, 497?
You can find a detailed procedure to find GCD of 324, 386, 54, 497 on our page.
3. How to find GCD of 324, 386, 54, 497 on a calculator?
You can find the GCD of 324, 386, 54, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.