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 412, 728, 85, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 728, 85, 498 is 1
GCD(412, 728, 85, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 728, 85, 498 is 1
GCD(412, 728, 85, 498) = 1
Given Input numbers are 412, 728, 85, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 412, 728, 85, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 728, 85, 498 is 1.
Therefore, GCD of numbers 412, 728, 85, 498 is 1
Given Input Data is 412, 728, 85, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 85 is 5 x 17
Prime Factorization of 498 is 2 x 3 x 83
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(412, 728) = 74984
GCD(412, 728) = ( 412 x 728 ) / 74984
GCD(412, 728) = 299936 / 74984
GCD(412, 728) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 85) = 340
GCD(4, 85) = ( 4 x 85 ) / 340
GCD(4, 85) = 340 / 340
GCD(4, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 412, 728, 85, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 728, 85, 498?
GCD of 412, 728, 85, 498 is 1
2. Where do I get the detailed procedure to find GCD of 412, 728, 85, 498?
You can find a detailed procedure to find GCD of 412, 728, 85, 498 on our page.
3. How to find GCD of 412, 728, 85, 498 on a calculator?
You can find the GCD of 412, 728, 85, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.